Highest Common Factor of 8652, 2393, 31237 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 8652, 2393, 31237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8652, 2393, 31237 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 8652, 2393, 31237 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 8652, 2393, 31237 is 1.

HCF(8652, 2393, 31237) = 1

HCF of 8652, 2393, 31237 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 8652, 2393, 31237 is 1.

Highest Common Factor of 8652,2393,31237 using Euclid's algorithm

Highest Common Factor of 8652,2393,31237 is 1

Step 1: Since 8652 > 2393, we apply the division lemma to 8652 and 2393, to get

8652 = 2393 x 3 + 1473

Step 2: Since the reminder 2393 ≠ 0, we apply division lemma to 1473 and 2393, to get

2393 = 1473 x 1 + 920

Step 3: We consider the new divisor 1473 and the new remainder 920, and apply the division lemma to get

1473 = 920 x 1 + 553

We consider the new divisor 920 and the new remainder 553,and apply the division lemma to get

920 = 553 x 1 + 367

We consider the new divisor 553 and the new remainder 367,and apply the division lemma to get

553 = 367 x 1 + 186

We consider the new divisor 367 and the new remainder 186,and apply the division lemma to get

367 = 186 x 1 + 181

We consider the new divisor 186 and the new remainder 181,and apply the division lemma to get

186 = 181 x 1 + 5

We consider the new divisor 181 and the new remainder 5,and apply the division lemma to get

181 = 5 x 36 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8652 and 2393 is 1

Notice that 1 = HCF(5,1) = HCF(181,5) = HCF(186,181) = HCF(367,186) = HCF(553,367) = HCF(920,553) = HCF(1473,920) = HCF(2393,1473) = HCF(8652,2393) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 31237 > 1, we apply the division lemma to 31237 and 1, to get

31237 = 1 x 31237 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31237 is 1

Notice that 1 = HCF(31237,1) .

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Frequently Asked Questions on HCF of 8652, 2393, 31237 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 8652, 2393, 31237?

Answer: HCF of 8652, 2393, 31237 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8652, 2393, 31237 using Euclid's Algorithm?

Answer: For arbitrary numbers 8652, 2393, 31237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.