Highest Common Factor of 9124, 2693 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 9124, 2693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9124, 2693 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 9124, 2693 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 9124, 2693 is 1.

HCF(9124, 2693) = 1

HCF of 9124, 2693 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 9124, 2693 is 1.

Highest Common Factor of 9124,2693 using Euclid's algorithm

Highest Common Factor of 9124,2693 is 1

Step 1: Since 9124 > 2693, we apply the division lemma to 9124 and 2693, to get

9124 = 2693 x 3 + 1045

Step 2: Since the reminder 2693 ≠ 0, we apply division lemma to 1045 and 2693, to get

2693 = 1045 x 2 + 603

Step 3: We consider the new divisor 1045 and the new remainder 603, and apply the division lemma to get

1045 = 603 x 1 + 442

We consider the new divisor 603 and the new remainder 442,and apply the division lemma to get

603 = 442 x 1 + 161

We consider the new divisor 442 and the new remainder 161,and apply the division lemma to get

442 = 161 x 2 + 120

We consider the new divisor 161 and the new remainder 120,and apply the division lemma to get

161 = 120 x 1 + 41

We consider the new divisor 120 and the new remainder 41,and apply the division lemma to get

120 = 41 x 2 + 38

We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get

41 = 38 x 1 + 3

We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get

38 = 3 x 12 + 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 9124 and 2693 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(120,41) = HCF(161,120) = HCF(442,161) = HCF(603,442) = HCF(1045,603) = HCF(2693,1045) = HCF(9124,2693) .

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Frequently Asked Questions on HCF of 9124, 2693 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 9124, 2693?

Answer: HCF of 9124, 2693 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9124, 2693 using Euclid's Algorithm?

Answer: For arbitrary numbers 9124, 2693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.