Highest Common Factor of 4610, 8057, 63711 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 4610, 8057, 63711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4610, 8057, 63711 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 4610, 8057, 63711 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 4610, 8057, 63711 is 1.

HCF(4610, 8057, 63711) = 1

HCF of 4610, 8057, 63711 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 4610, 8057, 63711 is 1.

Highest Common Factor of 4610,8057,63711 using Euclid's algorithm

Highest Common Factor of 4610,8057,63711 is 1

Step 1: Since 8057 > 4610, we apply the division lemma to 8057 and 4610, to get

8057 = 4610 x 1 + 3447

Step 2: Since the reminder 4610 ≠ 0, we apply division lemma to 3447 and 4610, to get

4610 = 3447 x 1 + 1163

Step 3: We consider the new divisor 3447 and the new remainder 1163, and apply the division lemma to get

3447 = 1163 x 2 + 1121

We consider the new divisor 1163 and the new remainder 1121,and apply the division lemma to get

1163 = 1121 x 1 + 42

We consider the new divisor 1121 and the new remainder 42,and apply the division lemma to get

1121 = 42 x 26 + 29

We consider the new divisor 42 and the new remainder 29,and apply the division lemma to get

42 = 29 x 1 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 4610 and 8057 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(42,29) = HCF(1121,42) = HCF(1163,1121) = HCF(3447,1163) = HCF(4610,3447) = HCF(8057,4610) .

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

Step 1: Since 63711 > 1, we apply the division lemma to 63711 and 1, to get

63711 = 1 x 63711 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63711 is 1

Notice that 1 = HCF(63711,1) .

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Frequently Asked Questions on HCF of 4610, 8057, 63711 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 4610, 8057, 63711?

Answer: HCF of 4610, 8057, 63711 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4610, 8057, 63711 using Euclid's Algorithm?

Answer: For arbitrary numbers 4610, 8057, 63711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.