Highest Common Factor of 491, 3252, 4766 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 491, 3252, 4766 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 491, 3252, 4766 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 491, 3252, 4766 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 491, 3252, 4766 is 1.

HCF(491, 3252, 4766) = 1

HCF of 491, 3252, 4766 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 491, 3252, 4766 is 1.

Highest Common Factor of 491,3252,4766 using Euclid's algorithm

Highest Common Factor of 491,3252,4766 is 1

Step 1: Since 3252 > 491, we apply the division lemma to 3252 and 491, to get

3252 = 491 x 6 + 306

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 306 and 491, to get

491 = 306 x 1 + 185

Step 3: We consider the new divisor 306 and the new remainder 185, and apply the division lemma to get

306 = 185 x 1 + 121

We consider the new divisor 185 and the new remainder 121,and apply the division lemma to get

185 = 121 x 1 + 64

We consider the new divisor 121 and the new remainder 64,and apply the division lemma to get

121 = 64 x 1 + 57

We consider the new divisor 64 and the new remainder 57,and apply the division lemma to get

64 = 57 x 1 + 7

We consider the new divisor 57 and the new remainder 7,and apply the division lemma to get

57 = 7 x 8 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 3252 is 1

Notice that 1 = HCF(7,1) = HCF(57,7) = HCF(64,57) = HCF(121,64) = HCF(185,121) = HCF(306,185) = HCF(491,306) = HCF(3252,491) .

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

Step 1: Since 4766 > 1, we apply the division lemma to 4766 and 1, to get

4766 = 1 x 4766 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4766 is 1

Notice that 1 = HCF(4766,1) .

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Frequently Asked Questions on HCF of 491, 3252, 4766 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 491, 3252, 4766?

Answer: HCF of 491, 3252, 4766 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 491, 3252, 4766 using Euclid's Algorithm?

Answer: For arbitrary numbers 491, 3252, 4766 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.