Highest Common Factor of 9477, 5477 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 9477, 5477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9477, 5477 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 9477, 5477 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 9477, 5477 is 1.

HCF(9477, 5477) = 1

HCF of 9477, 5477 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 9477, 5477 is 1.

Highest Common Factor of 9477,5477 using Euclid's algorithm

Highest Common Factor of 9477,5477 is 1

Step 1: Since 9477 > 5477, we apply the division lemma to 9477 and 5477, to get

9477 = 5477 x 1 + 4000

Step 2: Since the reminder 5477 ≠ 0, we apply division lemma to 4000 and 5477, to get

5477 = 4000 x 1 + 1477

Step 3: We consider the new divisor 4000 and the new remainder 1477, and apply the division lemma to get

4000 = 1477 x 2 + 1046

We consider the new divisor 1477 and the new remainder 1046,and apply the division lemma to get

1477 = 1046 x 1 + 431

We consider the new divisor 1046 and the new remainder 431,and apply the division lemma to get

1046 = 431 x 2 + 184

We consider the new divisor 431 and the new remainder 184,and apply the division lemma to get

431 = 184 x 2 + 63

We consider the new divisor 184 and the new remainder 63,and apply the division lemma to get

184 = 63 x 2 + 58

We consider the new divisor 63 and the new remainder 58,and apply the division lemma to get

63 = 58 x 1 + 5

We consider the new divisor 58 and the new remainder 5,and apply the division lemma to get

58 = 5 x 11 + 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 9477 and 5477 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(58,5) = HCF(63,58) = HCF(184,63) = HCF(431,184) = HCF(1046,431) = HCF(1477,1046) = HCF(4000,1477) = HCF(5477,4000) = HCF(9477,5477) .

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Frequently Asked Questions on HCF of 9477, 5477 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 9477, 5477?

Answer: HCF of 9477, 5477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9477, 5477 using Euclid's Algorithm?

Answer: For arbitrary numbers 9477, 5477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.