Highest Common Factor of 464, 764, 957 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 464, 764, 957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 464, 764, 957 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 464, 764, 957 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 464, 764, 957 is 1.

HCF(464, 764, 957) = 1

HCF of 464, 764, 957 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 464, 764, 957 is 1.

Highest Common Factor of 464,764,957 using Euclid's algorithm

Highest Common Factor of 464,764,957 is 1

Step 1: Since 764 > 464, we apply the division lemma to 764 and 464, to get

764 = 464 x 1 + 300

Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 300 and 464, to get

464 = 300 x 1 + 164

Step 3: We consider the new divisor 300 and the new remainder 164, and apply the division lemma to get

300 = 164 x 1 + 136

We consider the new divisor 164 and the new remainder 136,and apply the division lemma to get

164 = 136 x 1 + 28

We consider the new divisor 136 and the new remainder 28,and apply the division lemma to get

136 = 28 x 4 + 24

We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get

28 = 24 x 1 + 4

We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get

24 = 4 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 464 and 764 is 4

Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(136,28) = HCF(164,136) = HCF(300,164) = HCF(464,300) = HCF(764,464) .

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

Step 1: Since 957 > 4, we apply the division lemma to 957 and 4, to get

957 = 4 x 239 + 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 957 is 1

Notice that 1 = HCF(4,1) = HCF(957,4) .

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Frequently Asked Questions on HCF of 464, 764, 957 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 464, 764, 957?

Answer: HCF of 464, 764, 957 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 464, 764, 957 using Euclid's Algorithm?

Answer: For arbitrary numbers 464, 764, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.