Highest Common Factor of 9435, 6428, 32875 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 9435, 6428, 32875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9435, 6428, 32875 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 9435, 6428, 32875 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 9435, 6428, 32875 is 1.

HCF(9435, 6428, 32875) = 1

HCF of 9435, 6428, 32875 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 9435, 6428, 32875 is 1.

Highest Common Factor of 9435,6428,32875 using Euclid's algorithm

Highest Common Factor of 9435,6428,32875 is 1

Step 1: Since 9435 > 6428, we apply the division lemma to 9435 and 6428, to get

9435 = 6428 x 1 + 3007

Step 2: Since the reminder 6428 ≠ 0, we apply division lemma to 3007 and 6428, to get

6428 = 3007 x 2 + 414

Step 3: We consider the new divisor 3007 and the new remainder 414, and apply the division lemma to get

3007 = 414 x 7 + 109

We consider the new divisor 414 and the new remainder 109,and apply the division lemma to get

414 = 109 x 3 + 87

We consider the new divisor 109 and the new remainder 87,and apply the division lemma to get

109 = 87 x 1 + 22

We consider the new divisor 87 and the new remainder 22,and apply the division lemma to get

87 = 22 x 3 + 21

We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get

22 = 21 x 1 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9435 and 6428 is 1

Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(87,22) = HCF(109,87) = HCF(414,109) = HCF(3007,414) = HCF(6428,3007) = HCF(9435,6428) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 32875 > 1, we apply the division lemma to 32875 and 1, to get

32875 = 1 x 32875 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32875 is 1

Notice that 1 = HCF(32875,1) .

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Frequently Asked Questions on HCF of 9435, 6428, 32875 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 9435, 6428, 32875?

Answer: HCF of 9435, 6428, 32875 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9435, 6428, 32875 using Euclid's Algorithm?

Answer: For arbitrary numbers 9435, 6428, 32875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.