Highest Common Factor of 5524, 9001 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 5524, 9001 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5524, 9001 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 5524, 9001 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 5524, 9001 is 1.

HCF(5524, 9001) = 1

HCF of 5524, 9001 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 5524, 9001 is 1.

Highest Common Factor of 5524,9001 using Euclid's algorithm

Highest Common Factor of 5524,9001 is 1

Step 1: Since 9001 > 5524, we apply the division lemma to 9001 and 5524, to get

9001 = 5524 x 1 + 3477

Step 2: Since the reminder 5524 ≠ 0, we apply division lemma to 3477 and 5524, to get

5524 = 3477 x 1 + 2047

Step 3: We consider the new divisor 3477 and the new remainder 2047, and apply the division lemma to get

3477 = 2047 x 1 + 1430

We consider the new divisor 2047 and the new remainder 1430,and apply the division lemma to get

2047 = 1430 x 1 + 617

We consider the new divisor 1430 and the new remainder 617,and apply the division lemma to get

1430 = 617 x 2 + 196

We consider the new divisor 617 and the new remainder 196,and apply the division lemma to get

617 = 196 x 3 + 29

We consider the new divisor 196 and the new remainder 29,and apply the division lemma to get

196 = 29 x 6 + 22

We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get

29 = 22 x 1 + 7

We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get

22 = 7 x 3 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5524 and 9001 is 1

Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(196,29) = HCF(617,196) = HCF(1430,617) = HCF(2047,1430) = HCF(3477,2047) = HCF(5524,3477) = HCF(9001,5524) .

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Frequently Asked Questions on HCF of 5524, 9001 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 5524, 9001?

Answer: HCF of 5524, 9001 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5524, 9001 using Euclid's Algorithm?

Answer: For arbitrary numbers 5524, 9001 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.