Highest Common Factor of 632, 245 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 632, 245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 632, 245 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 632, 245 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 632, 245 is 1.

HCF(632, 245) = 1

HCF of 632, 245 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 632, 245 is 1.

Highest Common Factor of 632,245 using Euclid's algorithm

Highest Common Factor of 632,245 is 1

Step 1: Since 632 > 245, we apply the division lemma to 632 and 245, to get

632 = 245 x 2 + 142

Step 2: Since the reminder 245 ≠ 0, we apply division lemma to 142 and 245, to get

245 = 142 x 1 + 103

Step 3: We consider the new divisor 142 and the new remainder 103, and apply the division lemma to get

142 = 103 x 1 + 39

We consider the new divisor 103 and the new remainder 39,and apply the division lemma to get

103 = 39 x 2 + 25

We consider the new divisor 39 and the new remainder 25,and apply the division lemma to get

39 = 25 x 1 + 14

We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get

25 = 14 x 1 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 632 and 245 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(39,25) = HCF(103,39) = HCF(142,103) = HCF(245,142) = HCF(632,245) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 632, 245 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 632, 245?

Answer: HCF of 632, 245 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 632, 245 using Euclid's Algorithm?

Answer: For arbitrary numbers 632, 245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.