Highest Common Factor of 467, 637, 626 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 467, 637, 626 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 467, 637, 626 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 467, 637, 626 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 467, 637, 626 is 1.

HCF(467, 637, 626) = 1

HCF of 467, 637, 626 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 467, 637, 626 is 1.

Highest Common Factor of 467,637,626 using Euclid's algorithm

Highest Common Factor of 467,637,626 is 1

Step 1: Since 637 > 467, we apply the division lemma to 637 and 467, to get

637 = 467 x 1 + 170

Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 170 and 467, to get

467 = 170 x 2 + 127

Step 3: We consider the new divisor 170 and the new remainder 127, and apply the division lemma to get

170 = 127 x 1 + 43

We consider the new divisor 127 and the new remainder 43,and apply the division lemma to get

127 = 43 x 2 + 41

We consider the new divisor 43 and the new remainder 41,and apply the division lemma to get

43 = 41 x 1 + 2

We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get

41 = 2 x 20 + 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 467 and 637 is 1

Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(43,41) = HCF(127,43) = HCF(170,127) = HCF(467,170) = HCF(637,467) .

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

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

626 = 1 x 626 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 626 is 1

Notice that 1 = HCF(626,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 467, 637, 626 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 467, 637, 626?

Answer: HCF of 467, 637, 626 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 467, 637, 626 using Euclid's Algorithm?

Answer: For arbitrary numbers 467, 637, 626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.