Highest Common Factor of 7636, 3452, 49161 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 7636, 3452, 49161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7636, 3452, 49161 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 7636, 3452, 49161 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 7636, 3452, 49161 is 1.

HCF(7636, 3452, 49161) = 1

HCF of 7636, 3452, 49161 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 7636, 3452, 49161 is 1.

Highest Common Factor of 7636,3452,49161 using Euclid's algorithm

Highest Common Factor of 7636,3452,49161 is 1

Step 1: Since 7636 > 3452, we apply the division lemma to 7636 and 3452, to get

7636 = 3452 x 2 + 732

Step 2: Since the reminder 3452 ≠ 0, we apply division lemma to 732 and 3452, to get

3452 = 732 x 4 + 524

Step 3: We consider the new divisor 732 and the new remainder 524, and apply the division lemma to get

732 = 524 x 1 + 208

We consider the new divisor 524 and the new remainder 208,and apply the division lemma to get

524 = 208 x 2 + 108

We consider the new divisor 208 and the new remainder 108,and apply the division lemma to get

208 = 108 x 1 + 100

We consider the new divisor 108 and the new remainder 100,and apply the division lemma to get

108 = 100 x 1 + 8

We consider the new divisor 100 and the new remainder 8,and apply the division lemma to get

100 = 8 x 12 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7636 and 3452 is 4

Notice that 4 = HCF(8,4) = HCF(100,8) = HCF(108,100) = HCF(208,108) = HCF(524,208) = HCF(732,524) = HCF(3452,732) = HCF(7636,3452) .

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

Step 1: Since 49161 > 4, we apply the division lemma to 49161 and 4, to get

49161 = 4 x 12290 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 49161 is 1

Notice that 1 = HCF(4,1) = HCF(49161,4) .

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Frequently Asked Questions on HCF of 7636, 3452, 49161 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 7636, 3452, 49161?

Answer: HCF of 7636, 3452, 49161 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7636, 3452, 49161 using Euclid's Algorithm?

Answer: For arbitrary numbers 7636, 3452, 49161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.