Highest Common Factor of 9671, 5560 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 9671, 5560 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9671, 5560 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 9671, 5560 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 9671, 5560 is 1.

HCF(9671, 5560) = 1

HCF of 9671, 5560 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 9671, 5560 is 1.

Highest Common Factor of 9671,5560 using Euclid's algorithm

Highest Common Factor of 9671,5560 is 1

Step 1: Since 9671 > 5560, we apply the division lemma to 9671 and 5560, to get

9671 = 5560 x 1 + 4111

Step 2: Since the reminder 5560 ≠ 0, we apply division lemma to 4111 and 5560, to get

5560 = 4111 x 1 + 1449

Step 3: We consider the new divisor 4111 and the new remainder 1449, and apply the division lemma to get

4111 = 1449 x 2 + 1213

We consider the new divisor 1449 and the new remainder 1213,and apply the division lemma to get

1449 = 1213 x 1 + 236

We consider the new divisor 1213 and the new remainder 236,and apply the division lemma to get

1213 = 236 x 5 + 33

We consider the new divisor 236 and the new remainder 33,and apply the division lemma to get

236 = 33 x 7 + 5

We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get

33 = 5 x 6 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9671 and 5560 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(236,33) = HCF(1213,236) = HCF(1449,1213) = HCF(4111,1449) = HCF(5560,4111) = HCF(9671,5560) .

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Frequently Asked Questions on HCF of 9671, 5560 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 9671, 5560?

Answer: HCF of 9671, 5560 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9671, 5560 using Euclid's Algorithm?

Answer: For arbitrary numbers 9671, 5560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.