Highest Common Factor of 2618, 9416, 88568 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 2618, 9416, 88568 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 2618, 9416, 88568 is 2 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 2618, 9416, 88568 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 2618, 9416, 88568 is 2.

HCF(2618, 9416, 88568) = 2

HCF of 2618, 9416, 88568 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 2618, 9416, 88568 is 2.

Highest Common Factor of 2618,9416,88568 using Euclid's algorithm

Highest Common Factor of 2618,9416,88568 is 2

Step 1: Since 9416 > 2618, we apply the division lemma to 9416 and 2618, to get

9416 = 2618 x 3 + 1562

Step 2: Since the reminder 2618 ≠ 0, we apply division lemma to 1562 and 2618, to get

2618 = 1562 x 1 + 1056

Step 3: We consider the new divisor 1562 and the new remainder 1056, and apply the division lemma to get

1562 = 1056 x 1 + 506

We consider the new divisor 1056 and the new remainder 506,and apply the division lemma to get

1056 = 506 x 2 + 44

We consider the new divisor 506 and the new remainder 44,and apply the division lemma to get

506 = 44 x 11 + 22

We consider the new divisor 44 and the new remainder 22,and apply the division lemma to get

44 = 22 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 2618 and 9416 is 22

Notice that 22 = HCF(44,22) = HCF(506,44) = HCF(1056,506) = HCF(1562,1056) = HCF(2618,1562) = HCF(9416,2618) .

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

Step 1: Since 88568 > 22, we apply the division lemma to 88568 and 22, to get

88568 = 22 x 4025 + 18

Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 18 and 22, to get

22 = 18 x 1 + 4

Step 3: We consider the new divisor 18 and the new remainder 4, and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 22 and 88568 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(88568,22) .

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Frequently Asked Questions on HCF of 2618, 9416, 88568 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 2618, 9416, 88568?

Answer: HCF of 2618, 9416, 88568 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2618, 9416, 88568 using Euclid's Algorithm?

Answer: For arbitrary numbers 2618, 9416, 88568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.