Highest Common Factor of 3320, 5713 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 3320, 5713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3320, 5713 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 3320, 5713 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 3320, 5713 is 1.

HCF(3320, 5713) = 1

HCF of 3320, 5713 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 3320, 5713 is 1.

Highest Common Factor of 3320,5713 using Euclid's algorithm

Highest Common Factor of 3320,5713 is 1

Step 1: Since 5713 > 3320, we apply the division lemma to 5713 and 3320, to get

5713 = 3320 x 1 + 2393

Step 2: Since the reminder 3320 ≠ 0, we apply division lemma to 2393 and 3320, to get

3320 = 2393 x 1 + 927

Step 3: We consider the new divisor 2393 and the new remainder 927, and apply the division lemma to get

2393 = 927 x 2 + 539

We consider the new divisor 927 and the new remainder 539,and apply the division lemma to get

927 = 539 x 1 + 388

We consider the new divisor 539 and the new remainder 388,and apply the division lemma to get

539 = 388 x 1 + 151

We consider the new divisor 388 and the new remainder 151,and apply the division lemma to get

388 = 151 x 2 + 86

We consider the new divisor 151 and the new remainder 86,and apply the division lemma to get

151 = 86 x 1 + 65

We consider the new divisor 86 and the new remainder 65,and apply the division lemma to get

86 = 65 x 1 + 21

We consider the new divisor 65 and the new remainder 21,and apply the division lemma to get

65 = 21 x 3 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 3320 and 5713 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(65,21) = HCF(86,65) = HCF(151,86) = HCF(388,151) = HCF(539,388) = HCF(927,539) = HCF(2393,927) = HCF(3320,2393) = HCF(5713,3320) .

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Frequently Asked Questions on HCF of 3320, 5713 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 3320, 5713?

Answer: HCF of 3320, 5713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3320, 5713 using Euclid's Algorithm?

Answer: For arbitrary numbers 3320, 5713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.