Highest Common Factor of 924, 764, 197, 952 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 924, 764, 197, 952 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 924, 764, 197, 952 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 924, 764, 197, 952 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 924, 764, 197, 952 is 1.

HCF(924, 764, 197, 952) = 1

HCF of 924, 764, 197, 952 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 924, 764, 197, 952 is 1.

Highest Common Factor of 924,764,197,952 using Euclid's algorithm

Highest Common Factor of 924,764,197,952 is 1

Step 1: Since 924 > 764, we apply the division lemma to 924 and 764, to get

924 = 764 x 1 + 160

Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 160 and 764, to get

764 = 160 x 4 + 124

Step 3: We consider the new divisor 160 and the new remainder 124, and apply the division lemma to get

160 = 124 x 1 + 36

We consider the new divisor 124 and the new remainder 36,and apply the division lemma to get

124 = 36 x 3 + 16

We consider the new divisor 36 and the new remainder 16,and apply the division lemma to get

36 = 16 x 2 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 924 and 764 is 4

Notice that 4 = HCF(16,4) = HCF(36,16) = HCF(124,36) = HCF(160,124) = HCF(764,160) = HCF(924,764) .

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

Step 1: Since 197 > 4, we apply the division lemma to 197 and 4, to get

197 = 4 x 49 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 197 is 1

Notice that 1 = HCF(4,1) = HCF(197,4) .

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

Step 1: Since 952 > 1, we apply the division lemma to 952 and 1, to get

952 = 1 x 952 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 952 is 1

Notice that 1 = HCF(952,1) .

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Frequently Asked Questions on HCF of 924, 764, 197, 952 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 924, 764, 197, 952?

Answer: HCF of 924, 764, 197, 952 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 924, 764, 197, 952 using Euclid's Algorithm?

Answer: For arbitrary numbers 924, 764, 197, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.