Highest Common Factor of 4735, 7544 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 4735, 7544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4735, 7544 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 4735, 7544 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 4735, 7544 is 1.

HCF(4735, 7544) = 1

HCF of 4735, 7544 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 4735, 7544 is 1.

Highest Common Factor of 4735,7544 using Euclid's algorithm

Highest Common Factor of 4735,7544 is 1

Step 1: Since 7544 > 4735, we apply the division lemma to 7544 and 4735, to get

7544 = 4735 x 1 + 2809

Step 2: Since the reminder 4735 ≠ 0, we apply division lemma to 2809 and 4735, to get

4735 = 2809 x 1 + 1926

Step 3: We consider the new divisor 2809 and the new remainder 1926, and apply the division lemma to get

2809 = 1926 x 1 + 883

We consider the new divisor 1926 and the new remainder 883,and apply the division lemma to get

1926 = 883 x 2 + 160

We consider the new divisor 883 and the new remainder 160,and apply the division lemma to get

883 = 160 x 5 + 83

We consider the new divisor 160 and the new remainder 83,and apply the division lemma to get

160 = 83 x 1 + 77

We consider the new divisor 83 and the new remainder 77,and apply the division lemma to get

83 = 77 x 1 + 6

We consider the new divisor 77 and the new remainder 6,and apply the division lemma to get

77 = 6 x 12 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4735 and 7544 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(77,6) = HCF(83,77) = HCF(160,83) = HCF(883,160) = HCF(1926,883) = HCF(2809,1926) = HCF(4735,2809) = HCF(7544,4735) .

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Frequently Asked Questions on HCF of 4735, 7544 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 4735, 7544?

Answer: HCF of 4735, 7544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4735, 7544 using Euclid's Algorithm?

Answer: For arbitrary numbers 4735, 7544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.