Highest Common Factor of 7625, 5344, 53627 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 7625, 5344, 53627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7625, 5344, 53627 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 7625, 5344, 53627 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 7625, 5344, 53627 is 1.

HCF(7625, 5344, 53627) = 1

HCF of 7625, 5344, 53627 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 7625, 5344, 53627 is 1.

Highest Common Factor of 7625,5344,53627 using Euclid's algorithm

Highest Common Factor of 7625,5344,53627 is 1

Step 1: Since 7625 > 5344, we apply the division lemma to 7625 and 5344, to get

7625 = 5344 x 1 + 2281

Step 2: Since the reminder 5344 ≠ 0, we apply division lemma to 2281 and 5344, to get

5344 = 2281 x 2 + 782

Step 3: We consider the new divisor 2281 and the new remainder 782, and apply the division lemma to get

2281 = 782 x 2 + 717

We consider the new divisor 782 and the new remainder 717,and apply the division lemma to get

782 = 717 x 1 + 65

We consider the new divisor 717 and the new remainder 65,and apply the division lemma to get

717 = 65 x 11 + 2

We consider the new divisor 65 and the new remainder 2,and apply the division lemma to get

65 = 2 x 32 + 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 7625 and 5344 is 1

Notice that 1 = HCF(2,1) = HCF(65,2) = HCF(717,65) = HCF(782,717) = HCF(2281,782) = HCF(5344,2281) = HCF(7625,5344) .

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

Step 1: Since 53627 > 1, we apply the division lemma to 53627 and 1, to get

53627 = 1 x 53627 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53627 is 1

Notice that 1 = HCF(53627,1) .

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Frequently Asked Questions on HCF of 7625, 5344, 53627 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 7625, 5344, 53627?

Answer: HCF of 7625, 5344, 53627 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7625, 5344, 53627 using Euclid's Algorithm?

Answer: For arbitrary numbers 7625, 5344, 53627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.