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 396, 84 using Euclid's algorithm

HCF of 396, 84 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., 12 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 396, 84 is 12.

HCF(396, 84) = 12

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

HCF of

Determining HCF of Numbers 396,84 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 396,84 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(396,84).

Here 396 is greater than 84

Now, consider the largest number as 'a' from the given number ie., 396 and 84 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 396 > 84, we apply the division lemma to 396 and 84, to get

396 = 84 x 4 + 60

Step 2: Since the reminder 84 ≠ 0, we apply division lemma to 60 and 84, to get

84 = 60 x 1 + 24

Step 3: We consider the new divisor 60 and the new remainder 24, and apply the division lemma to get

60 = 24 x 2 + 12

We consider the new divisor 24 and the new remainder 12, and apply the division lemma to get

24 = 12 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 396 and 84 is 12

Notice that 12 = HCF(24,12) = HCF(60,24) = HCF(84,60) = HCF(396,84) .

Therefore, HCF of 396,84 using Euclid's division lemma is 12.

FAQs on HCF of 396, 84 using Euclid's Division Lemma Algorithm

1. What is the HCF(396, 84)?

The Highest common factor of 396, 84 is 12 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 396, 84 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 396, 84 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 396, 84 as 12.

3. Where can I get a detailed solution for finding the HCF(396, 84) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(396, 84) by Euclid's division lemma method on our page.