# HCF of 76, 96 using Euclid's algorithm

HCF of 76, 96 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., 4 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 76, 96 is 4.

HCF(76, 96) = 4

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

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## Determining HCF of Numbers 76,96 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 76,96 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(76,96).

Here 96 is greater than 76

Now, consider the largest number as 'a' from the given number ie., 96 and 76 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 96 > 76, we apply the division lemma to 96 and 76, to get

96 = 76 x 1 + 20

Step 2: Since the reminder 76 ≠ 0, we apply division lemma to 20 and 76, to get

76 = 20 x 3 + 16

Step 3: We consider the new divisor 20 and the new remainder 16, and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4, and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 76 and 96 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(76,20) = HCF(96,76) .

Therefore, HCF of 76,96 using Euclid's division lemma is 4.

### FAQs on HCF of 76, 96 using Euclid's Division Lemma Algorithm

1. What is the HCF(76, 96)?

The Highest common factor of 76, 96 is 4 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 76, 96 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 76, 96 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 76, 96 as 4.

3. Where can I get a detailed solution for finding the HCF(76, 96) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(76, 96) by Euclid's division lemma method on our page.