# HCF of 56, 74 using Euclid's algorithm

HCF of 56, 74 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., 2 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 56, 74 is 2.

HCF(56, 74) = 2

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

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## Determining HCF of Numbers 56,74 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 56,74 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(56,74).

Here 74 is greater than 56

Now, consider the largest number as 'a' from the given number ie., 74 and 56 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 74 > 56, we apply the division lemma to 74 and 56, to get

74 = 56 x 1 + 18

Step 2: Since the reminder 56 ≠ 0, we apply division lemma to 18 and 56, to get

56 = 18 x 3 + 2

Step 3: We consider the new divisor 18 and the new remainder 2, and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 56 and 74 is 2

Notice that 2 = HCF(18,2) = HCF(56,18) = HCF(74,56) .

Therefore, HCF of 56,74 using Euclid's division lemma is 2.

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### FAQs on HCF of 56, 74 using Euclid's Division Lemma Algorithm

1. What is the HCF(56, 74)?

The Highest common factor of 56, 74 is 2 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 56, 74 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 56, 74 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 56, 74 as 2.

3. Where can I get a detailed solution for finding the HCF(56, 74) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(56, 74) by Euclid's division lemma method on our page.