Highest Common Factor of 4422, 2521 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 4422, 2521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4422, 2521 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 4422, 2521 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 4422, 2521 is 1.

HCF(4422, 2521) = 1

HCF of 4422, 2521 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 4422, 2521 is 1.

Highest Common Factor of 4422,2521 using Euclid's algorithm

Highest Common Factor of 4422,2521 is 1

Step 1: Since 4422 > 2521, we apply the division lemma to 4422 and 2521, to get

4422 = 2521 x 1 + 1901

Step 2: Since the reminder 2521 ≠ 0, we apply division lemma to 1901 and 2521, to get

2521 = 1901 x 1 + 620

Step 3: We consider the new divisor 1901 and the new remainder 620, and apply the division lemma to get

1901 = 620 x 3 + 41

We consider the new divisor 620 and the new remainder 41,and apply the division lemma to get

620 = 41 x 15 + 5

We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get

41 = 5 x 8 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4422 and 2521 is 1

Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(620,41) = HCF(1901,620) = HCF(2521,1901) = HCF(4422,2521) .

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Frequently Asked Questions on HCF of 4422, 2521 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 4422, 2521?

Answer: HCF of 4422, 2521 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4422, 2521 using Euclid's Algorithm?

Answer: For arbitrary numbers 4422, 2521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.