Highest Common Factor of 7189, 2629 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 7189, 2629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7189, 2629 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 7189, 2629 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 7189, 2629 is 1.

HCF(7189, 2629) = 1

HCF of 7189, 2629 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 7189, 2629 is 1.

Highest Common Factor of 7189,2629 using Euclid's algorithm

Highest Common Factor of 7189,2629 is 1

Step 1: Since 7189 > 2629, we apply the division lemma to 7189 and 2629, to get

7189 = 2629 x 2 + 1931

Step 2: Since the reminder 2629 ≠ 0, we apply division lemma to 1931 and 2629, to get

2629 = 1931 x 1 + 698

Step 3: We consider the new divisor 1931 and the new remainder 698, and apply the division lemma to get

1931 = 698 x 2 + 535

We consider the new divisor 698 and the new remainder 535,and apply the division lemma to get

698 = 535 x 1 + 163

We consider the new divisor 535 and the new remainder 163,and apply the division lemma to get

535 = 163 x 3 + 46

We consider the new divisor 163 and the new remainder 46,and apply the division lemma to get

163 = 46 x 3 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7189 and 2629 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(163,46) = HCF(535,163) = HCF(698,535) = HCF(1931,698) = HCF(2629,1931) = HCF(7189,2629) .

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Frequently Asked Questions on HCF of 7189, 2629 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 7189, 2629?

Answer: HCF of 7189, 2629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7189, 2629 using Euclid's Algorithm?

Answer: For arbitrary numbers 7189, 2629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.