Highest Common Factor of 6128, 3713 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 6128, 3713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6128, 3713 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 6128, 3713 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 6128, 3713 is 1.

HCF(6128, 3713) = 1

HCF of 6128, 3713 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6128, 3713 is 1.

Highest Common Factor of 6128,3713 using Euclid's algorithm

Highest Common Factor of 6128,3713 is 1

Step 1: Since 6128 > 3713, we apply the division lemma to 6128 and 3713, to get

6128 = 3713 x 1 + 2415

Step 2: Since the reminder 3713 ≠ 0, we apply division lemma to 2415 and 3713, to get

3713 = 2415 x 1 + 1298

Step 3: We consider the new divisor 2415 and the new remainder 1298, and apply the division lemma to get

2415 = 1298 x 1 + 1117

We consider the new divisor 1298 and the new remainder 1117,and apply the division lemma to get

1298 = 1117 x 1 + 181

We consider the new divisor 1117 and the new remainder 181,and apply the division lemma to get

1117 = 181 x 6 + 31

We consider the new divisor 181 and the new remainder 31,and apply the division lemma to get

181 = 31 x 5 + 26

We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get

31 = 26 x 1 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6128 and 3713 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(181,31) = HCF(1117,181) = HCF(1298,1117) = HCF(2415,1298) = HCF(3713,2415) = HCF(6128,3713) .

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Frequently Asked Questions on HCF of 6128, 3713 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 6128, 3713?

Answer: HCF of 6128, 3713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6128, 3713 using Euclid's Algorithm?

Answer: For arbitrary numbers 6128, 3713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.