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HCF of 57, 60 using Euclid's algorithm

HCF of 57, 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., 3 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 57, 60 is 3.

HCF(57, 60) = 3

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

HCF of

Determining HCF of Numbers 57,60 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 57,60 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(57,60).

Here 60 is greater than 57

Now, consider the largest number as 'a' from the given number ie., 60 and 57 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 60 > 57, we apply the division lemma to 60 and 57, to get

60 = 57 x 1 + 3

Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 3 and 57, to get

57 = 3 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 57 and 60 is 3

Notice that 3 = HCF(57,3) = HCF(60,57) .

Therefore, HCF of 57,60 using Euclid's division lemma is 3.

HCF using Euclid's Algorithm Calculation Examples

FAQs on HCF of 57, 60 using Euclid's Division Lemma Algorithm

1. What is the HCF(57, 60)?

The Highest common factor of 57, 60 is 3 the largest common factor that exactly divides two or more numbers with remainder 0.


2. How do you find HCF of 57, 60 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 57, 60 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 57, 60 as 3.


3. Where can I get a detailed solution for finding the HCF(57, 60) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(57, 60) by Euclid's division lemma method on our page.