Highest Common Factor of 6655, 3888 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 6655, 3888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6655, 3888 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 6655, 3888 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 6655, 3888 is 1.

HCF(6655, 3888) = 1

HCF of 6655, 3888 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 6655, 3888 is 1.

Highest Common Factor of 6655,3888 using Euclid's algorithm

Highest Common Factor of 6655,3888 is 1

Step 1: Since 6655 > 3888, we apply the division lemma to 6655 and 3888, to get

6655 = 3888 x 1 + 2767

Step 2: Since the reminder 3888 ≠ 0, we apply division lemma to 2767 and 3888, to get

3888 = 2767 x 1 + 1121

Step 3: We consider the new divisor 2767 and the new remainder 1121, and apply the division lemma to get

2767 = 1121 x 2 + 525

We consider the new divisor 1121 and the new remainder 525,and apply the division lemma to get

1121 = 525 x 2 + 71

We consider the new divisor 525 and the new remainder 71,and apply the division lemma to get

525 = 71 x 7 + 28

We consider the new divisor 71 and the new remainder 28,and apply the division lemma to get

71 = 28 x 2 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 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 6655 and 3888 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(71,28) = HCF(525,71) = HCF(1121,525) = HCF(2767,1121) = HCF(3888,2767) = HCF(6655,3888) .

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Frequently Asked Questions on HCF of 6655, 3888 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 6655, 3888?

Answer: HCF of 6655, 3888 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6655, 3888 using Euclid's Algorithm?

Answer: For arbitrary numbers 6655, 3888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.