Highest Common Factor of 597, 60 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 597, 60 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 597, 60 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 597, 60 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 597, 60 is 3.

HCF(597, 60) = 3

HCF of 597, 60 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 597, 60 is 3.

Highest Common Factor of 597,60 using Euclid's algorithm

Highest Common Factor of 597,60 is 3

Step 1: Since 597 > 60, we apply the division lemma to 597 and 60, to get

597 = 60 x 9 + 57

Step 2: Since the reminder 60 ≠ 0, we apply division lemma to 57 and 60, to get

60 = 57 x 1 + 3

Step 3: We consider the new divisor 57 and the new remainder 3, and apply the division lemma 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 597 and 60 is 3

Notice that 3 = HCF(57,3) = HCF(60,57) = HCF(597,60) .

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Frequently Asked Questions on HCF of 597, 60 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 597, 60?

Answer: HCF of 597, 60 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 597, 60 using Euclid's Algorithm?

Answer: For arbitrary numbers 597, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.