Highest Common Factor of 7957, 5455, 61541 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 7957, 5455, 61541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7957, 5455, 61541 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 7957, 5455, 61541 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 7957, 5455, 61541 is 1.

HCF(7957, 5455, 61541) = 1

HCF of 7957, 5455, 61541 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 7957, 5455, 61541 is 1.

Highest Common Factor of 7957,5455,61541 using Euclid's algorithm

Highest Common Factor of 7957,5455,61541 is 1

Step 1: Since 7957 > 5455, we apply the division lemma to 7957 and 5455, to get

7957 = 5455 x 1 + 2502

Step 2: Since the reminder 5455 ≠ 0, we apply division lemma to 2502 and 5455, to get

5455 = 2502 x 2 + 451

Step 3: We consider the new divisor 2502 and the new remainder 451, and apply the division lemma to get

2502 = 451 x 5 + 247

We consider the new divisor 451 and the new remainder 247,and apply the division lemma to get

451 = 247 x 1 + 204

We consider the new divisor 247 and the new remainder 204,and apply the division lemma to get

247 = 204 x 1 + 43

We consider the new divisor 204 and the new remainder 43,and apply the division lemma to get

204 = 43 x 4 + 32

We consider the new divisor 43 and the new remainder 32,and apply the division lemma to get

43 = 32 x 1 + 11

We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get

32 = 11 x 2 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7957 and 5455 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(43,32) = HCF(204,43) = HCF(247,204) = HCF(451,247) = HCF(2502,451) = HCF(5455,2502) = HCF(7957,5455) .

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

Step 1: Since 61541 > 1, we apply the division lemma to 61541 and 1, to get

61541 = 1 x 61541 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61541 is 1

Notice that 1 = HCF(61541,1) .

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Frequently Asked Questions on HCF of 7957, 5455, 61541 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 7957, 5455, 61541?

Answer: HCF of 7957, 5455, 61541 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7957, 5455, 61541 using Euclid's Algorithm?

Answer: For arbitrary numbers 7957, 5455, 61541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.