Highest Common Factor of 860, 688 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 860, 688 i.e. 172 the largest integer that leaves a remainder zero for all numbers.

HCF of 860, 688 is 172 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 860, 688 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 860, 688 is 172.

HCF(860, 688) = 172

HCF of 860, 688 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 860, 688 is 172.

Highest Common Factor of 860,688 using Euclid's algorithm

Highest Common Factor of 860,688 is 172

Step 1: Since 860 > 688, we apply the division lemma to 860 and 688, to get

860 = 688 x 1 + 172

Step 2: Since the reminder 688 ≠ 0, we apply division lemma to 172 and 688, to get

688 = 172 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 172, the HCF of 860 and 688 is 172

Notice that 172 = HCF(688,172) = HCF(860,688) .

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Frequently Asked Questions on HCF of 860, 688 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 860, 688?

Answer: HCF of 860, 688 is 172 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 860, 688 using Euclid's Algorithm?

Answer: For arbitrary numbers 860, 688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.