Highest Common Factor of 689, 949, 637 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 689, 949, 637 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 689, 949, 637 is 13 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 689, 949, 637 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 689, 949, 637 is 13.

HCF(689, 949, 637) = 13

HCF of 689, 949, 637 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 689, 949, 637 is 13.

Highest Common Factor of 689,949,637 using Euclid's algorithm

Highest Common Factor of 689,949,637 is 13

Step 1: Since 949 > 689, we apply the division lemma to 949 and 689, to get

949 = 689 x 1 + 260

Step 2: Since the reminder 689 ≠ 0, we apply division lemma to 260 and 689, to get

689 = 260 x 2 + 169

Step 3: We consider the new divisor 260 and the new remainder 169, and apply the division lemma to get

260 = 169 x 1 + 91

We consider the new divisor 169 and the new remainder 91,and apply the division lemma to get

169 = 91 x 1 + 78

We consider the new divisor 91 and the new remainder 78,and apply the division lemma to get

91 = 78 x 1 + 13

We consider the new divisor 78 and the new remainder 13,and apply the division lemma to get

78 = 13 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 689 and 949 is 13

Notice that 13 = HCF(78,13) = HCF(91,78) = HCF(169,91) = HCF(260,169) = HCF(689,260) = HCF(949,689) .

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

Step 1: Since 637 > 13, we apply the division lemma to 637 and 13, to get

637 = 13 x 49 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 13 and 637 is 13

Notice that 13 = HCF(637,13) .

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Frequently Asked Questions on HCF of 689, 949, 637 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 689, 949, 637?

Answer: HCF of 689, 949, 637 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 689, 949, 637 using Euclid's Algorithm?

Answer: For arbitrary numbers 689, 949, 637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.