Highest Common Factor of 6675, 5152 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 6675, 5152 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6675, 5152 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 6675, 5152 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 6675, 5152 is 1.

HCF(6675, 5152) = 1

HCF of 6675, 5152 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 6675, 5152 is 1.

Highest Common Factor of 6675,5152 using Euclid's algorithm

Highest Common Factor of 6675,5152 is 1

Step 1: Since 6675 > 5152, we apply the division lemma to 6675 and 5152, to get

6675 = 5152 x 1 + 1523

Step 2: Since the reminder 5152 ≠ 0, we apply division lemma to 1523 and 5152, to get

5152 = 1523 x 3 + 583

Step 3: We consider the new divisor 1523 and the new remainder 583, and apply the division lemma to get

1523 = 583 x 2 + 357

We consider the new divisor 583 and the new remainder 357,and apply the division lemma to get

583 = 357 x 1 + 226

We consider the new divisor 357 and the new remainder 226,and apply the division lemma to get

357 = 226 x 1 + 131

We consider the new divisor 226 and the new remainder 131,and apply the division lemma to get

226 = 131 x 1 + 95

We consider the new divisor 131 and the new remainder 95,and apply the division lemma to get

131 = 95 x 1 + 36

We consider the new divisor 95 and the new remainder 36,and apply the division lemma to get

95 = 36 x 2 + 23

We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get

36 = 23 x 1 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6675 and 5152 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(95,36) = HCF(131,95) = HCF(226,131) = HCF(357,226) = HCF(583,357) = HCF(1523,583) = HCF(5152,1523) = HCF(6675,5152) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6675, 5152 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 6675, 5152?

Answer: HCF of 6675, 5152 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6675, 5152 using Euclid's Algorithm?

Answer: For arbitrary numbers 6675, 5152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.