Highest Common Factor of 7239, 8549 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 7239, 8549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7239, 8549 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 7239, 8549 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 7239, 8549 is 1.

HCF(7239, 8549) = 1

HCF of 7239, 8549 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 7239, 8549 is 1.

Highest Common Factor of 7239,8549 using Euclid's algorithm

Highest Common Factor of 7239,8549 is 1

Step 1: Since 8549 > 7239, we apply the division lemma to 8549 and 7239, to get

8549 = 7239 x 1 + 1310

Step 2: Since the reminder 7239 ≠ 0, we apply division lemma to 1310 and 7239, to get

7239 = 1310 x 5 + 689

Step 3: We consider the new divisor 1310 and the new remainder 689, and apply the division lemma to get

1310 = 689 x 1 + 621

We consider the new divisor 689 and the new remainder 621,and apply the division lemma to get

689 = 621 x 1 + 68

We consider the new divisor 621 and the new remainder 68,and apply the division lemma to get

621 = 68 x 9 + 9

We consider the new divisor 68 and the new remainder 9,and apply the division lemma to get

68 = 9 x 7 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 7239 and 8549 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(68,9) = HCF(621,68) = HCF(689,621) = HCF(1310,689) = HCF(7239,1310) = HCF(8549,7239) .

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Frequently Asked Questions on HCF of 7239, 8549 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 7239, 8549?

Answer: HCF of 7239, 8549 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7239, 8549 using Euclid's Algorithm?

Answer: For arbitrary numbers 7239, 8549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.