Highest Common Factor of 631, 969, 52 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 631, 969, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 631, 969, 52 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 631, 969, 52 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 631, 969, 52 is 1.

HCF(631, 969, 52) = 1

HCF of 631, 969, 52 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 631, 969, 52 is 1.

Highest Common Factor of 631,969,52 using Euclid's algorithm

Highest Common Factor of 631,969,52 is 1

Step 1: Since 969 > 631, we apply the division lemma to 969 and 631, to get

969 = 631 x 1 + 338

Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 338 and 631, to get

631 = 338 x 1 + 293

Step 3: We consider the new divisor 338 and the new remainder 293, and apply the division lemma to get

338 = 293 x 1 + 45

We consider the new divisor 293 and the new remainder 45,and apply the division lemma to get

293 = 45 x 6 + 23

We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get

45 = 23 x 1 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 631 and 969 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(293,45) = HCF(338,293) = HCF(631,338) = HCF(969,631) .

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

Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get

52 = 1 x 52 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1

Notice that 1 = HCF(52,1) .

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Frequently Asked Questions on HCF of 631, 969, 52 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 631, 969, 52?

Answer: HCF of 631, 969, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 631, 969, 52 using Euclid's Algorithm?

Answer: For arbitrary numbers 631, 969, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.