Highest Common Factor of 6288, 3421 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 6288, 3421 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6288, 3421 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 6288, 3421 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 6288, 3421 is 1.

HCF(6288, 3421) = 1

HCF of 6288, 3421 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 6288, 3421 is 1.

Highest Common Factor of 6288,3421 using Euclid's algorithm

Highest Common Factor of 6288,3421 is 1

Step 1: Since 6288 > 3421, we apply the division lemma to 6288 and 3421, to get

6288 = 3421 x 1 + 2867

Step 2: Since the reminder 3421 ≠ 0, we apply division lemma to 2867 and 3421, to get

3421 = 2867 x 1 + 554

Step 3: We consider the new divisor 2867 and the new remainder 554, and apply the division lemma to get

2867 = 554 x 5 + 97

We consider the new divisor 554 and the new remainder 97,and apply the division lemma to get

554 = 97 x 5 + 69

We consider the new divisor 97 and the new remainder 69,and apply the division lemma to get

97 = 69 x 1 + 28

We consider the new divisor 69 and the new remainder 28,and apply the division lemma to get

69 = 28 x 2 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 6288 and 3421 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(69,28) = HCF(97,69) = HCF(554,97) = HCF(2867,554) = HCF(3421,2867) = HCF(6288,3421) .

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Frequently Asked Questions on HCF of 6288, 3421 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 6288, 3421?

Answer: HCF of 6288, 3421 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6288, 3421 using Euclid's Algorithm?

Answer: For arbitrary numbers 6288, 3421 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.