Highest Common Factor of 9553, 6077 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 9553, 6077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9553, 6077 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 9553, 6077 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 9553, 6077 is 1.

HCF(9553, 6077) = 1

HCF of 9553, 6077 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 9553, 6077 is 1.

Highest Common Factor of 9553,6077 using Euclid's algorithm

Highest Common Factor of 9553,6077 is 1

Step 1: Since 9553 > 6077, we apply the division lemma to 9553 and 6077, to get

9553 = 6077 x 1 + 3476

Step 2: Since the reminder 6077 ≠ 0, we apply division lemma to 3476 and 6077, to get

6077 = 3476 x 1 + 2601

Step 3: We consider the new divisor 3476 and the new remainder 2601, and apply the division lemma to get

3476 = 2601 x 1 + 875

We consider the new divisor 2601 and the new remainder 875,and apply the division lemma to get

2601 = 875 x 2 + 851

We consider the new divisor 875 and the new remainder 851,and apply the division lemma to get

875 = 851 x 1 + 24

We consider the new divisor 851 and the new remainder 24,and apply the division lemma to get

851 = 24 x 35 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 9553 and 6077 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(851,24) = HCF(875,851) = HCF(2601,875) = HCF(3476,2601) = HCF(6077,3476) = HCF(9553,6077) .

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Frequently Asked Questions on HCF of 9553, 6077 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 9553, 6077?

Answer: HCF of 9553, 6077 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9553, 6077 using Euclid's Algorithm?

Answer: For arbitrary numbers 9553, 6077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.