Highest Common Factor of 8636, 4939, 81942 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 8636, 4939, 81942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8636, 4939, 81942 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 8636, 4939, 81942 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 8636, 4939, 81942 is 1.

HCF(8636, 4939, 81942) = 1

HCF of 8636, 4939, 81942 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 8636, 4939, 81942 is 1.

Highest Common Factor of 8636,4939,81942 using Euclid's algorithm

Highest Common Factor of 8636,4939,81942 is 1

Step 1: Since 8636 > 4939, we apply the division lemma to 8636 and 4939, to get

8636 = 4939 x 1 + 3697

Step 2: Since the reminder 4939 ≠ 0, we apply division lemma to 3697 and 4939, to get

4939 = 3697 x 1 + 1242

Step 3: We consider the new divisor 3697 and the new remainder 1242, and apply the division lemma to get

3697 = 1242 x 2 + 1213

We consider the new divisor 1242 and the new remainder 1213,and apply the division lemma to get

1242 = 1213 x 1 + 29

We consider the new divisor 1213 and the new remainder 29,and apply the division lemma to get

1213 = 29 x 41 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 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 8636 and 4939 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(1213,29) = HCF(1242,1213) = HCF(3697,1242) = HCF(4939,3697) = HCF(8636,4939) .

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

Step 1: Since 81942 > 1, we apply the division lemma to 81942 and 1, to get

81942 = 1 x 81942 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81942 is 1

Notice that 1 = HCF(81942,1) .

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Frequently Asked Questions on HCF of 8636, 4939, 81942 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 8636, 4939, 81942?

Answer: HCF of 8636, 4939, 81942 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8636, 4939, 81942 using Euclid's Algorithm?

Answer: For arbitrary numbers 8636, 4939, 81942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.