Highest Common Factor of 4681, 5241, 35657 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 4681, 5241, 35657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4681, 5241, 35657 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 4681, 5241, 35657 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 4681, 5241, 35657 is 1.

HCF(4681, 5241, 35657) = 1

HCF of 4681, 5241, 35657 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 4681, 5241, 35657 is 1.

Highest Common Factor of 4681,5241,35657 using Euclid's algorithm

Highest Common Factor of 4681,5241,35657 is 1

Step 1: Since 5241 > 4681, we apply the division lemma to 5241 and 4681, to get

5241 = 4681 x 1 + 560

Step 2: Since the reminder 4681 ≠ 0, we apply division lemma to 560 and 4681, to get

4681 = 560 x 8 + 201

Step 3: We consider the new divisor 560 and the new remainder 201, and apply the division lemma to get

560 = 201 x 2 + 158

We consider the new divisor 201 and the new remainder 158,and apply the division lemma to get

201 = 158 x 1 + 43

We consider the new divisor 158 and the new remainder 43,and apply the division lemma to get

158 = 43 x 3 + 29

We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get

43 = 29 x 1 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4681 and 5241 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(158,43) = HCF(201,158) = HCF(560,201) = HCF(4681,560) = HCF(5241,4681) .

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

Step 1: Since 35657 > 1, we apply the division lemma to 35657 and 1, to get

35657 = 1 x 35657 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35657 is 1

Notice that 1 = HCF(35657,1) .

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Frequently Asked Questions on HCF of 4681, 5241, 35657 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 4681, 5241, 35657?

Answer: HCF of 4681, 5241, 35657 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4681, 5241, 35657 using Euclid's Algorithm?

Answer: For arbitrary numbers 4681, 5241, 35657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.