Highest Common Factor of 6596, 9561 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 6596, 9561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6596, 9561 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 6596, 9561 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 6596, 9561 is 1.

HCF(6596, 9561) = 1

HCF of 6596, 9561 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 6596, 9561 is 1.

Highest Common Factor of 6596,9561 using Euclid's algorithm

Highest Common Factor of 6596,9561 is 1

Step 1: Since 9561 > 6596, we apply the division lemma to 9561 and 6596, to get

9561 = 6596 x 1 + 2965

Step 2: Since the reminder 6596 ≠ 0, we apply division lemma to 2965 and 6596, to get

6596 = 2965 x 2 + 666

Step 3: We consider the new divisor 2965 and the new remainder 666, and apply the division lemma to get

2965 = 666 x 4 + 301

We consider the new divisor 666 and the new remainder 301,and apply the division lemma to get

666 = 301 x 2 + 64

We consider the new divisor 301 and the new remainder 64,and apply the division lemma to get

301 = 64 x 4 + 45

We consider the new divisor 64 and the new remainder 45,and apply the division lemma to get

64 = 45 x 1 + 19

We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get

45 = 19 x 2 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 6596 and 9561 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(64,45) = HCF(301,64) = HCF(666,301) = HCF(2965,666) = HCF(6596,2965) = HCF(9561,6596) .

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Frequently Asked Questions on HCF of 6596, 9561 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 6596, 9561?

Answer: HCF of 6596, 9561 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6596, 9561 using Euclid's Algorithm?

Answer: For arbitrary numbers 6596, 9561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.