Highest Common Factor of 9011, 5921 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 9011, 5921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9011, 5921 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 9011, 5921 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 9011, 5921 is 1.

HCF(9011, 5921) = 1

HCF of 9011, 5921 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 9011, 5921 is 1.

Highest Common Factor of 9011,5921 using Euclid's algorithm

Highest Common Factor of 9011,5921 is 1

Step 1: Since 9011 > 5921, we apply the division lemma to 9011 and 5921, to get

9011 = 5921 x 1 + 3090

Step 2: Since the reminder 5921 ≠ 0, we apply division lemma to 3090 and 5921, to get

5921 = 3090 x 1 + 2831

Step 3: We consider the new divisor 3090 and the new remainder 2831, and apply the division lemma to get

3090 = 2831 x 1 + 259

We consider the new divisor 2831 and the new remainder 259,and apply the division lemma to get

2831 = 259 x 10 + 241

We consider the new divisor 259 and the new remainder 241,and apply the division lemma to get

259 = 241 x 1 + 18

We consider the new divisor 241 and the new remainder 18,and apply the division lemma to get

241 = 18 x 13 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9011 and 5921 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(241,18) = HCF(259,241) = HCF(2831,259) = HCF(3090,2831) = HCF(5921,3090) = HCF(9011,5921) .

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Frequently Asked Questions on HCF of 9011, 5921 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 9011, 5921?

Answer: HCF of 9011, 5921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9011, 5921 using Euclid's Algorithm?

Answer: For arbitrary numbers 9011, 5921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.