Highest Common Factor of 967, 4422, 8547 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 967, 4422, 8547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 967, 4422, 8547 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 967, 4422, 8547 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 967, 4422, 8547 is 1.

HCF(967, 4422, 8547) = 1

HCF of 967, 4422, 8547 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 967, 4422, 8547 is 1.

Highest Common Factor of 967,4422,8547 using Euclid's algorithm

Highest Common Factor of 967,4422,8547 is 1

Step 1: Since 4422 > 967, we apply the division lemma to 4422 and 967, to get

4422 = 967 x 4 + 554

Step 2: Since the reminder 967 ≠ 0, we apply division lemma to 554 and 967, to get

967 = 554 x 1 + 413

Step 3: We consider the new divisor 554 and the new remainder 413, and apply the division lemma to get

554 = 413 x 1 + 141

We consider the new divisor 413 and the new remainder 141,and apply the division lemma to get

413 = 141 x 2 + 131

We consider the new divisor 141 and the new remainder 131,and apply the division lemma to get

141 = 131 x 1 + 10

We consider the new divisor 131 and the new remainder 10,and apply the division lemma to get

131 = 10 x 13 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 967 and 4422 is 1

Notice that 1 = HCF(10,1) = HCF(131,10) = HCF(141,131) = HCF(413,141) = HCF(554,413) = HCF(967,554) = HCF(4422,967) .

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

Step 1: Since 8547 > 1, we apply the division lemma to 8547 and 1, to get

8547 = 1 x 8547 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8547 is 1

Notice that 1 = HCF(8547,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 967, 4422, 8547 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 967, 4422, 8547?

Answer: HCF of 967, 4422, 8547 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 967, 4422, 8547 using Euclid's Algorithm?

Answer: For arbitrary numbers 967, 4422, 8547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.