Highest Common Factor of 3891, 4318 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 3891, 4318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3891, 4318 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 3891, 4318 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 3891, 4318 is 1.

HCF(3891, 4318) = 1

HCF of 3891, 4318 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3891, 4318 is 1.

Highest Common Factor of 3891,4318 using Euclid's algorithm

Highest Common Factor of 3891,4318 is 1

Step 1: Since 4318 > 3891, we apply the division lemma to 4318 and 3891, to get

4318 = 3891 x 1 + 427

Step 2: Since the reminder 3891 ≠ 0, we apply division lemma to 427 and 3891, to get

3891 = 427 x 9 + 48

Step 3: We consider the new divisor 427 and the new remainder 48, and apply the division lemma to get

427 = 48 x 8 + 43

We consider the new divisor 48 and the new remainder 43,and apply the division lemma to get

48 = 43 x 1 + 5

We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get

43 = 5 x 8 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3891 and 4318 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(48,43) = HCF(427,48) = HCF(3891,427) = HCF(4318,3891) .

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Frequently Asked Questions on HCF of 3891, 4318 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 3891, 4318?

Answer: HCF of 3891, 4318 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3891, 4318 using Euclid's Algorithm?

Answer: For arbitrary numbers 3891, 4318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.