Highest Common Factor of 9038, 5337 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 9038, 5337 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9038, 5337 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 9038, 5337 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 9038, 5337 is 1.

HCF(9038, 5337) = 1

HCF of 9038, 5337 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 9038, 5337 is 1.

Highest Common Factor of 9038,5337 using Euclid's algorithm

Highest Common Factor of 9038,5337 is 1

Step 1: Since 9038 > 5337, we apply the division lemma to 9038 and 5337, to get

9038 = 5337 x 1 + 3701

Step 2: Since the reminder 5337 ≠ 0, we apply division lemma to 3701 and 5337, to get

5337 = 3701 x 1 + 1636

Step 3: We consider the new divisor 3701 and the new remainder 1636, and apply the division lemma to get

3701 = 1636 x 2 + 429

We consider the new divisor 1636 and the new remainder 429,and apply the division lemma to get

1636 = 429 x 3 + 349

We consider the new divisor 429 and the new remainder 349,and apply the division lemma to get

429 = 349 x 1 + 80

We consider the new divisor 349 and the new remainder 80,and apply the division lemma to get

349 = 80 x 4 + 29

We consider the new divisor 80 and the new remainder 29,and apply the division lemma to get

80 = 29 x 2 + 22

We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get

29 = 22 x 1 + 7

We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get

22 = 7 x 3 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9038 and 5337 is 1

Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(80,29) = HCF(349,80) = HCF(429,349) = HCF(1636,429) = HCF(3701,1636) = HCF(5337,3701) = HCF(9038,5337) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9038, 5337 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 9038, 5337?

Answer: HCF of 9038, 5337 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9038, 5337 using Euclid's Algorithm?

Answer: For arbitrary numbers 9038, 5337 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.