Highest Common Factor of 9293, 4991 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 9293, 4991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9293, 4991 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 9293, 4991 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 9293, 4991 is 1.

HCF(9293, 4991) = 1

HCF of 9293, 4991 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 9293, 4991 is 1.

Highest Common Factor of 9293,4991 using Euclid's algorithm

Highest Common Factor of 9293,4991 is 1

Step 1: Since 9293 > 4991, we apply the division lemma to 9293 and 4991, to get

9293 = 4991 x 1 + 4302

Step 2: Since the reminder 4991 ≠ 0, we apply division lemma to 4302 and 4991, to get

4991 = 4302 x 1 + 689

Step 3: We consider the new divisor 4302 and the new remainder 689, and apply the division lemma to get

4302 = 689 x 6 + 168

We consider the new divisor 689 and the new remainder 168,and apply the division lemma to get

689 = 168 x 4 + 17

We consider the new divisor 168 and the new remainder 17,and apply the division lemma to get

168 = 17 x 9 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 9293 and 4991 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(168,17) = HCF(689,168) = HCF(4302,689) = HCF(4991,4302) = HCF(9293,4991) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9293, 4991 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 9293, 4991?

Answer: HCF of 9293, 4991 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9293, 4991 using Euclid's Algorithm?

Answer: For arbitrary numbers 9293, 4991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.