Highest Common Factor of 5660, 3357 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 5660, 3357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5660, 3357 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 5660, 3357 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 5660, 3357 is 1.

HCF(5660, 3357) = 1

HCF of 5660, 3357 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 5660, 3357 is 1.

Highest Common Factor of 5660,3357 using Euclid's algorithm

Highest Common Factor of 5660,3357 is 1

Step 1: Since 5660 > 3357, we apply the division lemma to 5660 and 3357, to get

5660 = 3357 x 1 + 2303

Step 2: Since the reminder 3357 ≠ 0, we apply division lemma to 2303 and 3357, to get

3357 = 2303 x 1 + 1054

Step 3: We consider the new divisor 2303 and the new remainder 1054, and apply the division lemma to get

2303 = 1054 x 2 + 195

We consider the new divisor 1054 and the new remainder 195,and apply the division lemma to get

1054 = 195 x 5 + 79

We consider the new divisor 195 and the new remainder 79,and apply the division lemma to get

195 = 79 x 2 + 37

We consider the new divisor 79 and the new remainder 37,and apply the division lemma to get

79 = 37 x 2 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5660 and 3357 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(79,37) = HCF(195,79) = HCF(1054,195) = HCF(2303,1054) = HCF(3357,2303) = HCF(5660,3357) .

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Frequently Asked Questions on HCF of 5660, 3357 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 5660, 3357?

Answer: HCF of 5660, 3357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5660, 3357 using Euclid's Algorithm?

Answer: For arbitrary numbers 5660, 3357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.