Highest Common Factor of 7511, 2622 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 7511, 2622 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7511, 2622 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 7511, 2622 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 7511, 2622 is 1.

HCF(7511, 2622) = 1

HCF of 7511, 2622 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 7511, 2622 is 1.

Highest Common Factor of 7511,2622 using Euclid's algorithm

Highest Common Factor of 7511,2622 is 1

Step 1: Since 7511 > 2622, we apply the division lemma to 7511 and 2622, to get

7511 = 2622 x 2 + 2267

Step 2: Since the reminder 2622 ≠ 0, we apply division lemma to 2267 and 2622, to get

2622 = 2267 x 1 + 355

Step 3: We consider the new divisor 2267 and the new remainder 355, and apply the division lemma to get

2267 = 355 x 6 + 137

We consider the new divisor 355 and the new remainder 137,and apply the division lemma to get

355 = 137 x 2 + 81

We consider the new divisor 137 and the new remainder 81,and apply the division lemma to get

137 = 81 x 1 + 56

We consider the new divisor 81 and the new remainder 56,and apply the division lemma to get

81 = 56 x 1 + 25

We consider the new divisor 56 and the new remainder 25,and apply the division lemma to get

56 = 25 x 2 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7511 and 2622 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(56,25) = HCF(81,56) = HCF(137,81) = HCF(355,137) = HCF(2267,355) = HCF(2622,2267) = HCF(7511,2622) .

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Frequently Asked Questions on HCF of 7511, 2622 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 7511, 2622?

Answer: HCF of 7511, 2622 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7511, 2622 using Euclid's Algorithm?

Answer: For arbitrary numbers 7511, 2622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.