Highest Common Factor of 964, 249, 921 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 964, 249, 921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 964, 249, 921 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 964, 249, 921 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 964, 249, 921 is 1.

HCF(964, 249, 921) = 1

HCF of 964, 249, 921 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 964, 249, 921 is 1.

Highest Common Factor of 964,249,921 using Euclid's algorithm

Highest Common Factor of 964,249,921 is 1

Step 1: Since 964 > 249, we apply the division lemma to 964 and 249, to get

964 = 249 x 3 + 217

Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 217 and 249, to get

249 = 217 x 1 + 32

Step 3: We consider the new divisor 217 and the new remainder 32, and apply the division lemma to get

217 = 32 x 6 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 964 and 249 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(217,32) = HCF(249,217) = HCF(964,249) .

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

Step 1: Since 921 > 1, we apply the division lemma to 921 and 1, to get

921 = 1 x 921 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 921 is 1

Notice that 1 = HCF(921,1) .

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Frequently Asked Questions on HCF of 964, 249, 921 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 964, 249, 921?

Answer: HCF of 964, 249, 921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 964, 249, 921 using Euclid's Algorithm?

Answer: For arbitrary numbers 964, 249, 921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.