Highest Common Factor of 9674, 4037 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 9674, 4037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9674, 4037 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 9674, 4037 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 9674, 4037 is 1.

HCF(9674, 4037) = 1

HCF of 9674, 4037 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 9674, 4037 is 1.

Highest Common Factor of 9674,4037 using Euclid's algorithm

Highest Common Factor of 9674,4037 is 1

Step 1: Since 9674 > 4037, we apply the division lemma to 9674 and 4037, to get

9674 = 4037 x 2 + 1600

Step 2: Since the reminder 4037 ≠ 0, we apply division lemma to 1600 and 4037, to get

4037 = 1600 x 2 + 837

Step 3: We consider the new divisor 1600 and the new remainder 837, and apply the division lemma to get

1600 = 837 x 1 + 763

We consider the new divisor 837 and the new remainder 763,and apply the division lemma to get

837 = 763 x 1 + 74

We consider the new divisor 763 and the new remainder 74,and apply the division lemma to get

763 = 74 x 10 + 23

We consider the new divisor 74 and the new remainder 23,and apply the division lemma to get

74 = 23 x 3 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9674 and 4037 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(74,23) = HCF(763,74) = HCF(837,763) = HCF(1600,837) = HCF(4037,1600) = HCF(9674,4037) .

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Frequently Asked Questions on HCF of 9674, 4037 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 9674, 4037?

Answer: HCF of 9674, 4037 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9674, 4037 using Euclid's Algorithm?

Answer: For arbitrary numbers 9674, 4037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.