Highest Common Factor of 3857, 4232, 72274 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 3857, 4232, 72274 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3857, 4232, 72274 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 3857, 4232, 72274 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 3857, 4232, 72274 is 1.

HCF(3857, 4232, 72274) = 1

HCF of 3857, 4232, 72274 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 3857, 4232, 72274 is 1.

Highest Common Factor of 3857,4232,72274 using Euclid's algorithm

Highest Common Factor of 3857,4232,72274 is 1

Step 1: Since 4232 > 3857, we apply the division lemma to 4232 and 3857, to get

4232 = 3857 x 1 + 375

Step 2: Since the reminder 3857 ≠ 0, we apply division lemma to 375 and 3857, to get

3857 = 375 x 10 + 107

Step 3: We consider the new divisor 375 and the new remainder 107, and apply the division lemma to get

375 = 107 x 3 + 54

We consider the new divisor 107 and the new remainder 54,and apply the division lemma to get

107 = 54 x 1 + 53

We consider the new divisor 54 and the new remainder 53,and apply the division lemma to get

54 = 53 x 1 + 1

We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get

53 = 1 x 53 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3857 and 4232 is 1

Notice that 1 = HCF(53,1) = HCF(54,53) = HCF(107,54) = HCF(375,107) = HCF(3857,375) = HCF(4232,3857) .

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

Step 1: Since 72274 > 1, we apply the division lemma to 72274 and 1, to get

72274 = 1 x 72274 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72274 is 1

Notice that 1 = HCF(72274,1) .

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Frequently Asked Questions on HCF of 3857, 4232, 72274 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 3857, 4232, 72274?

Answer: HCF of 3857, 4232, 72274 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3857, 4232, 72274 using Euclid's Algorithm?

Answer: For arbitrary numbers 3857, 4232, 72274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.