Highest Common Factor of 7487, 9039 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 7487, 9039 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7487, 9039 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 7487, 9039 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 7487, 9039 is 1.

HCF(7487, 9039) = 1

HCF of 7487, 9039 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 7487, 9039 is 1.

Highest Common Factor of 7487,9039 using Euclid's algorithm

Highest Common Factor of 7487,9039 is 1

Step 1: Since 9039 > 7487, we apply the division lemma to 9039 and 7487, to get

9039 = 7487 x 1 + 1552

Step 2: Since the reminder 7487 ≠ 0, we apply division lemma to 1552 and 7487, to get

7487 = 1552 x 4 + 1279

Step 3: We consider the new divisor 1552 and the new remainder 1279, and apply the division lemma to get

1552 = 1279 x 1 + 273

We consider the new divisor 1279 and the new remainder 273,and apply the division lemma to get

1279 = 273 x 4 + 187

We consider the new divisor 273 and the new remainder 187,and apply the division lemma to get

273 = 187 x 1 + 86

We consider the new divisor 187 and the new remainder 86,and apply the division lemma to get

187 = 86 x 2 + 15

We consider the new divisor 86 and the new remainder 15,and apply the division lemma to get

86 = 15 x 5 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7487 and 9039 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(86,15) = HCF(187,86) = HCF(273,187) = HCF(1279,273) = HCF(1552,1279) = HCF(7487,1552) = HCF(9039,7487) .

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Frequently Asked Questions on HCF of 7487, 9039 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 7487, 9039?

Answer: HCF of 7487, 9039 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7487, 9039 using Euclid's Algorithm?

Answer: For arbitrary numbers 7487, 9039 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.