Highest Common Factor of 8671, 4952, 89146 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 8671, 4952, 89146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8671, 4952, 89146 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 8671, 4952, 89146 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 8671, 4952, 89146 is 1.

HCF(8671, 4952, 89146) = 1

HCF of 8671, 4952, 89146 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 8671, 4952, 89146 is 1.

Highest Common Factor of 8671,4952,89146 using Euclid's algorithm

Highest Common Factor of 8671,4952,89146 is 1

Step 1: Since 8671 > 4952, we apply the division lemma to 8671 and 4952, to get

8671 = 4952 x 1 + 3719

Step 2: Since the reminder 4952 ≠ 0, we apply division lemma to 3719 and 4952, to get

4952 = 3719 x 1 + 1233

Step 3: We consider the new divisor 3719 and the new remainder 1233, and apply the division lemma to get

3719 = 1233 x 3 + 20

We consider the new divisor 1233 and the new remainder 20,and apply the division lemma to get

1233 = 20 x 61 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8671 and 4952 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(1233,20) = HCF(3719,1233) = HCF(4952,3719) = HCF(8671,4952) .

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

Step 1: Since 89146 > 1, we apply the division lemma to 89146 and 1, to get

89146 = 1 x 89146 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89146 is 1

Notice that 1 = HCF(89146,1) .

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Frequently Asked Questions on HCF of 8671, 4952, 89146 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 8671, 4952, 89146?

Answer: HCF of 8671, 4952, 89146 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8671, 4952, 89146 using Euclid's Algorithm?

Answer: For arbitrary numbers 8671, 4952, 89146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.