Highest Common Factor of 9037, 6676 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 9037, 6676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9037, 6676 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 9037, 6676 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 9037, 6676 is 1.

HCF(9037, 6676) = 1

HCF of 9037, 6676 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 9037, 6676 is 1.

Highest Common Factor of 9037,6676 using Euclid's algorithm

Highest Common Factor of 9037,6676 is 1

Step 1: Since 9037 > 6676, we apply the division lemma to 9037 and 6676, to get

9037 = 6676 x 1 + 2361

Step 2: Since the reminder 6676 ≠ 0, we apply division lemma to 2361 and 6676, to get

6676 = 2361 x 2 + 1954

Step 3: We consider the new divisor 2361 and the new remainder 1954, and apply the division lemma to get

2361 = 1954 x 1 + 407

We consider the new divisor 1954 and the new remainder 407,and apply the division lemma to get

1954 = 407 x 4 + 326

We consider the new divisor 407 and the new remainder 326,and apply the division lemma to get

407 = 326 x 1 + 81

We consider the new divisor 326 and the new remainder 81,and apply the division lemma to get

326 = 81 x 4 + 2

We consider the new divisor 81 and the new remainder 2,and apply the division lemma to get

81 = 2 x 40 + 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 9037 and 6676 is 1

Notice that 1 = HCF(2,1) = HCF(81,2) = HCF(326,81) = HCF(407,326) = HCF(1954,407) = HCF(2361,1954) = HCF(6676,2361) = HCF(9037,6676) .

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Frequently Asked Questions on HCF of 9037, 6676 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 9037, 6676?

Answer: HCF of 9037, 6676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9037, 6676 using Euclid's Algorithm?

Answer: For arbitrary numbers 9037, 6676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.