Highest Common Factor of 3453, 3862 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 3453, 3862 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3453, 3862 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 3453, 3862 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 3453, 3862 is 1.

HCF(3453, 3862) = 1

HCF of 3453, 3862 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 3453, 3862 is 1.

Highest Common Factor of 3453,3862 using Euclid's algorithm

Highest Common Factor of 3453,3862 is 1

Step 1: Since 3862 > 3453, we apply the division lemma to 3862 and 3453, to get

3862 = 3453 x 1 + 409

Step 2: Since the reminder 3453 ≠ 0, we apply division lemma to 409 and 3453, to get

3453 = 409 x 8 + 181

Step 3: We consider the new divisor 409 and the new remainder 181, and apply the division lemma to get

409 = 181 x 2 + 47

We consider the new divisor 181 and the new remainder 47,and apply the division lemma to get

181 = 47 x 3 + 40

We consider the new divisor 47 and the new remainder 40,and apply the division lemma to get

47 = 40 x 1 + 7

We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get

40 = 7 x 5 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3453 and 3862 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(47,40) = HCF(181,47) = HCF(409,181) = HCF(3453,409) = HCF(3862,3453) .

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Frequently Asked Questions on HCF of 3453, 3862 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 3453, 3862?

Answer: HCF of 3453, 3862 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3453, 3862 using Euclid's Algorithm?

Answer: For arbitrary numbers 3453, 3862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.