Highest Common Factor of 8378, 4761 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 8378, 4761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8378, 4761 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 8378, 4761 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 8378, 4761 is 1.

HCF(8378, 4761) = 1

HCF of 8378, 4761 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 8378, 4761 is 1.

Highest Common Factor of 8378,4761 using Euclid's algorithm

Highest Common Factor of 8378,4761 is 1

Step 1: Since 8378 > 4761, we apply the division lemma to 8378 and 4761, to get

8378 = 4761 x 1 + 3617

Step 2: Since the reminder 4761 ≠ 0, we apply division lemma to 3617 and 4761, to get

4761 = 3617 x 1 + 1144

Step 3: We consider the new divisor 3617 and the new remainder 1144, and apply the division lemma to get

3617 = 1144 x 3 + 185

We consider the new divisor 1144 and the new remainder 185,and apply the division lemma to get

1144 = 185 x 6 + 34

We consider the new divisor 185 and the new remainder 34,and apply the division lemma to get

185 = 34 x 5 + 15

We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get

34 = 15 x 2 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8378 and 4761 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(185,34) = HCF(1144,185) = HCF(3617,1144) = HCF(4761,3617) = HCF(8378,4761) .

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Frequently Asked Questions on HCF of 8378, 4761 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 8378, 4761?

Answer: HCF of 8378, 4761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8378, 4761 using Euclid's Algorithm?

Answer: For arbitrary numbers 8378, 4761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.