Highest Common Factor of 4953, 4276 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 4953, 4276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4953, 4276 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 4953, 4276 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 4953, 4276 is 1.

HCF(4953, 4276) = 1

HCF of 4953, 4276 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 4953, 4276 is 1.

Highest Common Factor of 4953,4276 using Euclid's algorithm

Highest Common Factor of 4953,4276 is 1

Step 1: Since 4953 > 4276, we apply the division lemma to 4953 and 4276, to get

4953 = 4276 x 1 + 677

Step 2: Since the reminder 4276 ≠ 0, we apply division lemma to 677 and 4276, to get

4276 = 677 x 6 + 214

Step 3: We consider the new divisor 677 and the new remainder 214, and apply the division lemma to get

677 = 214 x 3 + 35

We consider the new divisor 214 and the new remainder 35,and apply the division lemma to get

214 = 35 x 6 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 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 4953 and 4276 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(214,35) = HCF(677,214) = HCF(4276,677) = HCF(4953,4276) .

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Frequently Asked Questions on HCF of 4953, 4276 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 4953, 4276?

Answer: HCF of 4953, 4276 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4953, 4276 using Euclid's Algorithm?

Answer: For arbitrary numbers 4953, 4276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.