Highest Common Factor of 465, 763, 537 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 465, 763, 537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 465, 763, 537 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 465, 763, 537 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 465, 763, 537 is 1.

HCF(465, 763, 537) = 1

HCF of 465, 763, 537 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 465, 763, 537 is 1.

Highest Common Factor of 465,763,537 using Euclid's algorithm

Highest Common Factor of 465,763,537 is 1

Step 1: Since 763 > 465, we apply the division lemma to 763 and 465, to get

763 = 465 x 1 + 298

Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 298 and 465, to get

465 = 298 x 1 + 167

Step 3: We consider the new divisor 298 and the new remainder 167, and apply the division lemma to get

298 = 167 x 1 + 131

We consider the new divisor 167 and the new remainder 131,and apply the division lemma to get

167 = 131 x 1 + 36

We consider the new divisor 131 and the new remainder 36,and apply the division lemma to get

131 = 36 x 3 + 23

We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get

36 = 23 x 1 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 465 and 763 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(131,36) = HCF(167,131) = HCF(298,167) = HCF(465,298) = HCF(763,465) .

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

Step 1: Since 537 > 1, we apply the division lemma to 537 and 1, to get

537 = 1 x 537 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 537 is 1

Notice that 1 = HCF(537,1) .

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Frequently Asked Questions on HCF of 465, 763, 537 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 465, 763, 537?

Answer: HCF of 465, 763, 537 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 465, 763, 537 using Euclid's Algorithm?

Answer: For arbitrary numbers 465, 763, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.