LCM Calculator GCF Calculator GCD Calculator LCM of Two or More Numbers Calculator GCF of Two or More Numbers Calculator Factoring Calculator Prime Factorisation Calculator HCF Using Euclid's division lemma Calculator Factor Tree Calculator LCM of Decimals Calculator GCF of Decimals Calculator GCF of Fractions Calculator LCM of Fractions Calculator GCF and LCM Calculator

HCF of 15, 45, 60 using Euclid's algorithm

HCF of 15, 45, 60 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 15 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 15, 45, 60 is 15.

HCF(15, 45, 60) = 15

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

HCF of

Determining HCF of Numbers 15,45,60 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 15,45,60 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(15,45,60).

Here 45 is greater than 15

Now, consider the largest number as 'a' from the given number ie., 45 and 15 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 45 > 15, we apply the division lemma to 45 and 15, to get

45 = 15 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 15 and 45 is 15

Notice that 15 = HCF(45,15) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Here 60 is greater than 15

Now, consider the largest number as 'a' from the given number ie., 60 and 15 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 60 > 15, we apply the division lemma to 60 and 15, to get

60 = 15 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 15 and 60 is 15

Notice that 15 = HCF(60,15) .

Therefore, HCF of 15,45,60 using Euclid's division lemma is 15.

FAQs on HCF of 15, 45, 60 using Euclid's Division Lemma Algorithm

1. What is the HCF(15, 45, 60)?

The Highest common factor of 15, 45, 60 is 15 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 15, 45, 60 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 15, 45, 60 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 15, 45, 60 as 15.

3. Where can I get a detailed solution for finding the HCF(15, 45, 60) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(15, 45, 60) by Euclid's division lemma method on our page.