Highest Common Factor of 4753, 9320 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 4753, 9320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4753, 9320 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 4753, 9320 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 4753, 9320 is 1.

HCF(4753, 9320) = 1

HCF of 4753, 9320 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 4753, 9320 is 1.

Highest Common Factor of 4753,9320 using Euclid's algorithm

Highest Common Factor of 4753,9320 is 1

Step 1: Since 9320 > 4753, we apply the division lemma to 9320 and 4753, to get

9320 = 4753 x 1 + 4567

Step 2: Since the reminder 4753 ≠ 0, we apply division lemma to 4567 and 4753, to get

4753 = 4567 x 1 + 186

Step 3: We consider the new divisor 4567 and the new remainder 186, and apply the division lemma to get

4567 = 186 x 24 + 103

We consider the new divisor 186 and the new remainder 103,and apply the division lemma to get

186 = 103 x 1 + 83

We consider the new divisor 103 and the new remainder 83,and apply the division lemma to get

103 = 83 x 1 + 20

We consider the new divisor 83 and the new remainder 20,and apply the division lemma to get

83 = 20 x 4 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4753 and 9320 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(83,20) = HCF(103,83) = HCF(186,103) = HCF(4567,186) = HCF(4753,4567) = HCF(9320,4753) .

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Frequently Asked Questions on HCF of 4753, 9320 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 4753, 9320?

Answer: HCF of 4753, 9320 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4753, 9320 using Euclid's Algorithm?

Answer: For arbitrary numbers 4753, 9320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.