Highest Common Factor of 969, 610, 425, 874 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 969, 610, 425, 874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 969, 610, 425, 874 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 969, 610, 425, 874 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 969, 610, 425, 874 is 1.

HCF(969, 610, 425, 874) = 1

HCF of 969, 610, 425, 874 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 969, 610, 425, 874 is 1.

Highest Common Factor of 969,610,425,874 using Euclid's algorithm

Highest Common Factor of 969,610,425,874 is 1

Step 1: Since 969 > 610, we apply the division lemma to 969 and 610, to get

969 = 610 x 1 + 359

Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 359 and 610, to get

610 = 359 x 1 + 251

Step 3: We consider the new divisor 359 and the new remainder 251, and apply the division lemma to get

359 = 251 x 1 + 108

We consider the new divisor 251 and the new remainder 108,and apply the division lemma to get

251 = 108 x 2 + 35

We consider the new divisor 108 and the new remainder 35,and apply the division lemma to get

108 = 35 x 3 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 969 and 610 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(108,35) = HCF(251,108) = HCF(359,251) = HCF(610,359) = HCF(969,610) .

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

Step 1: Since 425 > 1, we apply the division lemma to 425 and 1, to get

425 = 1 x 425 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 425 is 1

Notice that 1 = HCF(425,1) .

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

Step 1: Since 874 > 1, we apply the division lemma to 874 and 1, to get

874 = 1 x 874 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 874 is 1

Notice that 1 = HCF(874,1) .

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Frequently Asked Questions on HCF of 969, 610, 425, 874 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 969, 610, 425, 874?

Answer: HCF of 969, 610, 425, 874 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 969, 610, 425, 874 using Euclid's Algorithm?

Answer: For arbitrary numbers 969, 610, 425, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.