Highest Common Factor of 9473, 2760 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 9473, 2760 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9473, 2760 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 9473, 2760 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 9473, 2760 is 1.

HCF(9473, 2760) = 1

HCF of 9473, 2760 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 9473, 2760 is 1.

Highest Common Factor of 9473,2760 using Euclid's algorithm

Highest Common Factor of 9473,2760 is 1

Step 1: Since 9473 > 2760, we apply the division lemma to 9473 and 2760, to get

9473 = 2760 x 3 + 1193

Step 2: Since the reminder 2760 ≠ 0, we apply division lemma to 1193 and 2760, to get

2760 = 1193 x 2 + 374

Step 3: We consider the new divisor 1193 and the new remainder 374, and apply the division lemma to get

1193 = 374 x 3 + 71

We consider the new divisor 374 and the new remainder 71,and apply the division lemma to get

374 = 71 x 5 + 19

We consider the new divisor 71 and the new remainder 19,and apply the division lemma to get

71 = 19 x 3 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 9473 and 2760 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(71,19) = HCF(374,71) = HCF(1193,374) = HCF(2760,1193) = HCF(9473,2760) .

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Frequently Asked Questions on HCF of 9473, 2760 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 9473, 2760?

Answer: HCF of 9473, 2760 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9473, 2760 using Euclid's Algorithm?

Answer: For arbitrary numbers 9473, 2760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.