Highest Common Factor of 957, 710, 529 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 957, 710, 529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 957, 710, 529 is 1 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 957, 710, 529 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 957, 710, 529 is 1.

HCF(957, 710, 529) = 1

HCF of 957, 710, 529 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 957, 710, 529 is 1.

Highest Common Factor of 957,710,529 using Euclid's algorithm

Highest Common Factor of 957,710,529 is 1

Step 1: Since 957 > 710, we apply the division lemma to 957 and 710, to get

957 = 710 x 1 + 247

Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 247 and 710, to get

710 = 247 x 2 + 216

Step 3: We consider the new divisor 247 and the new remainder 216, and apply the division lemma to get

247 = 216 x 1 + 31

We consider the new divisor 216 and the new remainder 31,and apply the division lemma to get

216 = 31 x 6 + 30

We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get

31 = 30 x 1 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 957 and 710 is 1

Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(216,31) = HCF(247,216) = HCF(710,247) = HCF(957,710) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 529 > 1, we apply the division lemma to 529 and 1, to get

529 = 1 x 529 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 529 is 1

Notice that 1 = HCF(529,1) .

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Frequently Asked Questions on HCF of 957, 710, 529 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 957, 710, 529?

Answer: HCF of 957, 710, 529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 957, 710, 529 using Euclid's Algorithm?

Answer: For arbitrary numbers 957, 710, 529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.