Highest Common Factor of 626, 1465, 5881 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 626, 1465, 5881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 626, 1465, 5881 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 626, 1465, 5881 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 626, 1465, 5881 is 1.

HCF(626, 1465, 5881) = 1

HCF of 626, 1465, 5881 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 626, 1465, 5881 is 1.

Highest Common Factor of 626,1465,5881 using Euclid's algorithm

Highest Common Factor of 626,1465,5881 is 1

Step 1: Since 1465 > 626, we apply the division lemma to 1465 and 626, to get

1465 = 626 x 2 + 213

Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 213 and 626, to get

626 = 213 x 2 + 200

Step 3: We consider the new divisor 213 and the new remainder 200, and apply the division lemma to get

213 = 200 x 1 + 13

We consider the new divisor 200 and the new remainder 13,and apply the division lemma to get

200 = 13 x 15 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 626 and 1465 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(200,13) = HCF(213,200) = HCF(626,213) = HCF(1465,626) .

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

Step 1: Since 5881 > 1, we apply the division lemma to 5881 and 1, to get

5881 = 1 x 5881 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5881 is 1

Notice that 1 = HCF(5881,1) .

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Frequently Asked Questions on HCF of 626, 1465, 5881 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 626, 1465, 5881?

Answer: HCF of 626, 1465, 5881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 626, 1465, 5881 using Euclid's Algorithm?

Answer: For arbitrary numbers 626, 1465, 5881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.