Highest Common Factor of 1074, 9631, 29462 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 1074, 9631, 29462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1074, 9631, 29462 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 1074, 9631, 29462 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 1074, 9631, 29462 is 1.

HCF(1074, 9631, 29462) = 1

HCF of 1074, 9631, 29462 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 1074, 9631, 29462 is 1.

Highest Common Factor of 1074,9631,29462 using Euclid's algorithm

Highest Common Factor of 1074,9631,29462 is 1

Step 1: Since 9631 > 1074, we apply the division lemma to 9631 and 1074, to get

9631 = 1074 x 8 + 1039

Step 2: Since the reminder 1074 ≠ 0, we apply division lemma to 1039 and 1074, to get

1074 = 1039 x 1 + 35

Step 3: We consider the new divisor 1039 and the new remainder 35, and apply the division lemma to get

1039 = 35 x 29 + 24

We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get

35 = 24 x 1 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 1074 and 9631 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(1039,35) = HCF(1074,1039) = HCF(9631,1074) .

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

Step 1: Since 29462 > 1, we apply the division lemma to 29462 and 1, to get

29462 = 1 x 29462 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29462 is 1

Notice that 1 = HCF(29462,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1074, 9631, 29462 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 1074, 9631, 29462?

Answer: HCF of 1074, 9631, 29462 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1074, 9631, 29462 using Euclid's Algorithm?

Answer: For arbitrary numbers 1074, 9631, 29462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.