Highest Common Factor of 944, 114, 61 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 944, 114, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 944, 114, 61 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 944, 114, 61 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 944, 114, 61 is 1.

HCF(944, 114, 61) = 1

HCF of 944, 114, 61 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 944, 114, 61 is 1.

Highest Common Factor of 944,114,61 using Euclid's algorithm

Highest Common Factor of 944,114,61 is 1

Step 1: Since 944 > 114, we apply the division lemma to 944 and 114, to get

944 = 114 x 8 + 32

Step 2: Since the reminder 114 ≠ 0, we apply division lemma to 32 and 114, to get

114 = 32 x 3 + 18

Step 3: We consider the new divisor 32 and the new remainder 18, and apply the division lemma to get

32 = 18 x 1 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 944 and 114 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(114,32) = HCF(944,114) .


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

Step 1: Since 61 > 2, we apply the division lemma to 61 and 2, to get

61 = 2 x 30 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 61 is 1

Notice that 1 = HCF(2,1) = HCF(61,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 944, 114, 61 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 944, 114, 61?

Answer: HCF of 944, 114, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 944, 114, 61 using Euclid's Algorithm?

Answer: For arbitrary numbers 944, 114, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.