Highest Common Factor of 9052, 9629 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 9052, 9629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9052, 9629 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 9052, 9629 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 9052, 9629 is 1.

HCF(9052, 9629) = 1

HCF of 9052, 9629 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 9052, 9629 is 1.

Highest Common Factor of 9052,9629 using Euclid's algorithm

Highest Common Factor of 9052,9629 is 1

Step 1: Since 9629 > 9052, we apply the division lemma to 9629 and 9052, to get

9629 = 9052 x 1 + 577

Step 2: Since the reminder 9052 ≠ 0, we apply division lemma to 577 and 9052, to get

9052 = 577 x 15 + 397

Step 3: We consider the new divisor 577 and the new remainder 397, and apply the division lemma to get

577 = 397 x 1 + 180

We consider the new divisor 397 and the new remainder 180,and apply the division lemma to get

397 = 180 x 2 + 37

We consider the new divisor 180 and the new remainder 37,and apply the division lemma to get

180 = 37 x 4 + 32

We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get

37 = 32 x 1 + 5

We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get

32 = 5 x 6 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9052 and 9629 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(180,37) = HCF(397,180) = HCF(577,397) = HCF(9052,577) = HCF(9629,9052) .

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Frequently Asked Questions on HCF of 9052, 9629 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 9052, 9629?

Answer: HCF of 9052, 9629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9052, 9629 using Euclid's Algorithm?

Answer: For arbitrary numbers 9052, 9629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.