# HCF of 42, 79 using Euclid's algorithm

HCF of 42, 79 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., 1 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 42, 79 is 1.

HCF(42, 79) = 1

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

HCF of

## Determining HCF of Numbers 42,79 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 42,79 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(42,79).

Here 79 is greater than 42

Now, consider the largest number as 'a' from the given number ie., 79 and 42 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 79 > 42, we apply the division lemma to 79 and 42, to get

79 = 42 x 1 + 37

Step 2: Since the reminder 42 ≠ 0, we apply division lemma to 37 and 42, to get

42 = 37 x 1 + 5

Step 3: We consider the new divisor 37 and the new remainder 5, and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 42 and 79 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(79,42) .

Therefore, HCF of 42,79 using Euclid's division lemma is 1.

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### FAQs on HCF of 42, 79 using Euclid's Division Lemma Algorithm

1. What is the HCF(42, 79)?

The Highest common factor of 42, 79 is 1 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 42, 79 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 42, 79 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 42, 79 as 1.

3. Where can I get a detailed solution for finding the HCF(42, 79) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(42, 79) by Euclid's division lemma method on our page.