Highest Common Factor of 7039, 7590 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 7039, 7590 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7039, 7590 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 7039, 7590 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 7039, 7590 is 1.

HCF(7039, 7590) = 1

HCF of 7039, 7590 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7039, 7590 is 1.

Highest Common Factor of 7039,7590 using Euclid's algorithm

Highest Common Factor of 7039,7590 is 1

Step 1: Since 7590 > 7039, we apply the division lemma to 7590 and 7039, to get

7590 = 7039 x 1 + 551

Step 2: Since the reminder 7039 ≠ 0, we apply division lemma to 551 and 7039, to get

7039 = 551 x 12 + 427

Step 3: We consider the new divisor 551 and the new remainder 427, and apply the division lemma to get

551 = 427 x 1 + 124

We consider the new divisor 427 and the new remainder 124,and apply the division lemma to get

427 = 124 x 3 + 55

We consider the new divisor 124 and the new remainder 55,and apply the division lemma to get

124 = 55 x 2 + 14

We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get

55 = 14 x 3 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7039 and 7590 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(124,55) = HCF(427,124) = HCF(551,427) = HCF(7039,551) = HCF(7590,7039) .

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Frequently Asked Questions on HCF of 7039, 7590 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 7039, 7590?

Answer: HCF of 7039, 7590 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7039, 7590 using Euclid's Algorithm?

Answer: For arbitrary numbers 7039, 7590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.