Highest Common Factor of 9023, 986 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 9023, 986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9023, 986 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 9023, 986 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 9023, 986 is 1.

HCF(9023, 986) = 1

HCF of 9023, 986 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 9023, 986 is 1.

Highest Common Factor of 9023,986 using Euclid's algorithm

Highest Common Factor of 9023,986 is 1

Step 1: Since 9023 > 986, we apply the division lemma to 9023 and 986, to get

9023 = 986 x 9 + 149

Step 2: Since the reminder 986 ≠ 0, we apply division lemma to 149 and 986, to get

986 = 149 x 6 + 92

Step 3: We consider the new divisor 149 and the new remainder 92, and apply the division lemma to get

149 = 92 x 1 + 57

We consider the new divisor 92 and the new remainder 57,and apply the division lemma to get

92 = 57 x 1 + 35

We consider the new divisor 57 and the new remainder 35,and apply the division lemma to get

57 = 35 x 1 + 22

We consider the new divisor 35 and the new remainder 22,and apply the division lemma to get

35 = 22 x 1 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9023 and 986 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(35,22) = HCF(57,35) = HCF(92,57) = HCF(149,92) = HCF(986,149) = HCF(9023,986) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9023, 986 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 9023, 986?

Answer: HCF of 9023, 986 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9023, 986 using Euclid's Algorithm?

Answer: For arbitrary numbers 9023, 986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.