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GCD Calculator

Handy and online GCD Calculator gets the greatest common divisor of two numbers as early as possible. Enter input two decimal numbers and hit on the calculate button to find the output as the GCD of those numbers in seconds.

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

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Here are some samples of GCD of Numbers calculations.

GCD Calculator: Avail free calculator tool that computes the GCD of lengthy numbers easily in fraction of seconds. Use this tool to get the instant and accurate results while calculating the greatest common divisor. Learn the procedure on how to check the GCD of two decimal numbers easily with solved examples. To make familiar with the concept, we have given the two easy procedures in the following sections.

Step by Step Process to Find GCD of Two Numbers

Greatest Common Divisor is the largest positive integer that divides each of the integers. Follow the simple and easy guidelines listed below and know the procedure on how to solve the GCD of two numbers manually. The two simple procedures are along the lines

1. General process

  • Take any two decimal numbers.
  • Write the divisor of those two numbers.
  • List out the common numbers in those values.
  • The highest number will become the GCD for given numbers.

2. Using Formula

  • Let us take any two decimal numbers to find GCD.
  • GCD formula is (number 1 * number 2) / (LCM of number 1, number 2).
  • At first find the lcm of those numbers.
  • Write the prime factors of both numbers.
  • Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
  • Now, multiply the given numbers and divide the result by lcm to get the answer.

Examples

Question 1: Find the GCD of 72 and 8?

Solution:

Number 1 = 72

Number 2 = 8

Divisor of 72 = 2, 2, 2, 3, 3

Divisor of 8 = 2, 2, 2

The common numbers are 2, 2, 2

So, GCD of numbers = 2 x 2 x 2 = 8

Question 2: Find the GCD of 76 and 52?

Solution:

Number 1 = 76

Number 2 = 52

Prime factors of 76 = 2 x 2 x 19

Prime factors of 52 = 2 x 2 x 13

LCM = 2 x 2 x 13 x 19 = 988

GCD = (number 1 * number 2) / (LCM of number 1, number 2)

= (76 x 52) / 988

= 3952 / 988

= 4

GCD = 4

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GCD Calculator

Frequently Asked Questions on GCD Calculator

1. How do you find the GCD of 3 numbers?

GCD of three or more numbers is equal to the product of prime factors common to all numbers.

2. What is the GCD of 2 and 3?

Divisor of 2 = 1, 2

Divisor of 3 = 1, 3

Greatest Common Divisor of 2 and 3 is 1.

3. How do you find the GCD on a calculator?

Simply you need to provide input numbers in the input section and tap on the calculate button which is next to the input section to get the Greatest Common Divisor value easily.

4. How do you define Greatest Common Divisor?

Greatest Common Divisor (GCD) of two or more non zero numbers is the largest positive integer that divides each of the integers. For two integers a, b the greatest common divisor of a, b is expressed as gcd (a, b). Sometimes, GCD is also called as Highest Common Factor (HCF) or the Greatest Common Denominator.