Highest Common Factor of 9473, 7735 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, 7735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9473, 7735 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, 7735 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, 7735 is 1.

HCF(9473, 7735) = 1

HCF of 9473, 7735 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, 7735 is 1.

Highest Common Factor of 9473,7735 using Euclid's algorithm

Highest Common Factor of 9473,7735 is 1

Step 1: Since 9473 > 7735, we apply the division lemma to 9473 and 7735, to get

9473 = 7735 x 1 + 1738

Step 2: Since the reminder 7735 ≠ 0, we apply division lemma to 1738 and 7735, to get

7735 = 1738 x 4 + 783

Step 3: We consider the new divisor 1738 and the new remainder 783, and apply the division lemma to get

1738 = 783 x 2 + 172

We consider the new divisor 783 and the new remainder 172,and apply the division lemma to get

783 = 172 x 4 + 95

We consider the new divisor 172 and the new remainder 95,and apply the division lemma to get

172 = 95 x 1 + 77

We consider the new divisor 95 and the new remainder 77,and apply the division lemma to get

95 = 77 x 1 + 18

We consider the new divisor 77 and the new remainder 18,and apply the division lemma to get

77 = 18 x 4 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 9473 and 7735 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(77,18) = HCF(95,77) = HCF(172,95) = HCF(783,172) = HCF(1738,783) = HCF(7735,1738) = HCF(9473,7735) .

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Frequently Asked Questions on HCF of 9473, 7735 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, 7735?

Answer: HCF of 9473, 7735 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9473, 7735 using Euclid's Algorithm?

Answer: For arbitrary numbers 9473, 7735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.