Highest Common Factor of 4303, 4956 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 4303, 4956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4303, 4956 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 4303, 4956 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 4303, 4956 is 1.

HCF(4303, 4956) = 1

HCF of 4303, 4956 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 4303, 4956 is 1.

Highest Common Factor of 4303,4956 using Euclid's algorithm

Highest Common Factor of 4303,4956 is 1

Step 1: Since 4956 > 4303, we apply the division lemma to 4956 and 4303, to get

4956 = 4303 x 1 + 653

Step 2: Since the reminder 4303 ≠ 0, we apply division lemma to 653 and 4303, to get

4303 = 653 x 6 + 385

Step 3: We consider the new divisor 653 and the new remainder 385, and apply the division lemma to get

653 = 385 x 1 + 268

We consider the new divisor 385 and the new remainder 268,and apply the division lemma to get

385 = 268 x 1 + 117

We consider the new divisor 268 and the new remainder 117,and apply the division lemma to get

268 = 117 x 2 + 34

We consider the new divisor 117 and the new remainder 34,and apply the division lemma to get

117 = 34 x 3 + 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 4303 and 4956 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(117,34) = HCF(268,117) = HCF(385,268) = HCF(653,385) = HCF(4303,653) = HCF(4956,4303) .

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Frequently Asked Questions on HCF of 4303, 4956 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 4303, 4956?

Answer: HCF of 4303, 4956 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4303, 4956 using Euclid's Algorithm?

Answer: For arbitrary numbers 4303, 4956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.