Highest Common Factor of 627, 7910, 5266 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 627, 7910, 5266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 627, 7910, 5266 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 627, 7910, 5266 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 627, 7910, 5266 is 1.

HCF(627, 7910, 5266) = 1

HCF of 627, 7910, 5266 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 627, 7910, 5266 is 1.

Highest Common Factor of 627,7910,5266 using Euclid's algorithm

Highest Common Factor of 627,7910,5266 is 1

Step 1: Since 7910 > 627, we apply the division lemma to 7910 and 627, to get

7910 = 627 x 12 + 386

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 386 and 627, to get

627 = 386 x 1 + 241

Step 3: We consider the new divisor 386 and the new remainder 241, and apply the division lemma to get

386 = 241 x 1 + 145

We consider the new divisor 241 and the new remainder 145,and apply the division lemma to get

241 = 145 x 1 + 96

We consider the new divisor 145 and the new remainder 96,and apply the division lemma to get

145 = 96 x 1 + 49

We consider the new divisor 96 and the new remainder 49,and apply the division lemma to get

96 = 49 x 1 + 47

We consider the new divisor 49 and the new remainder 47,and apply the division lemma to get

49 = 47 x 1 + 2

We consider the new divisor 47 and the new remainder 2,and apply the division lemma to get

47 = 2 x 23 + 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 627 and 7910 is 1

Notice that 1 = HCF(2,1) = HCF(47,2) = HCF(49,47) = HCF(96,49) = HCF(145,96) = HCF(241,145) = HCF(386,241) = HCF(627,386) = HCF(7910,627) .

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

Step 1: Since 5266 > 1, we apply the division lemma to 5266 and 1, to get

5266 = 1 x 5266 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5266 is 1

Notice that 1 = HCF(5266,1) .

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Frequently Asked Questions on HCF of 627, 7910, 5266 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 627, 7910, 5266?

Answer: HCF of 627, 7910, 5266 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 627, 7910, 5266 using Euclid's Algorithm?

Answer: For arbitrary numbers 627, 7910, 5266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.