Highest Common Factor of 9475, 6399 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 9475, 6399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9475, 6399 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 9475, 6399 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 9475, 6399 is 1.

HCF(9475, 6399) = 1

HCF of 9475, 6399 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 9475, 6399 is 1.

Highest Common Factor of 9475,6399 using Euclid's algorithm

Highest Common Factor of 9475,6399 is 1

Step 1: Since 9475 > 6399, we apply the division lemma to 9475 and 6399, to get

9475 = 6399 x 1 + 3076

Step 2: Since the reminder 6399 ≠ 0, we apply division lemma to 3076 and 6399, to get

6399 = 3076 x 2 + 247

Step 3: We consider the new divisor 3076 and the new remainder 247, and apply the division lemma to get

3076 = 247 x 12 + 112

We consider the new divisor 247 and the new remainder 112,and apply the division lemma to get

247 = 112 x 2 + 23

We consider the new divisor 112 and the new remainder 23,and apply the division lemma to get

112 = 23 x 4 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 9475 and 6399 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(112,23) = HCF(247,112) = HCF(3076,247) = HCF(6399,3076) = HCF(9475,6399) .

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Frequently Asked Questions on HCF of 9475, 6399 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 9475, 6399?

Answer: HCF of 9475, 6399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9475, 6399 using Euclid's Algorithm?

Answer: For arbitrary numbers 9475, 6399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.