Highest Common Factor of 6628, 5102, 60895 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 6628, 5102, 60895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6628, 5102, 60895 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 6628, 5102, 60895 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 6628, 5102, 60895 is 1.

HCF(6628, 5102, 60895) = 1

HCF of 6628, 5102, 60895 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 6628, 5102, 60895 is 1.

Highest Common Factor of 6628,5102,60895 using Euclid's algorithm

Highest Common Factor of 6628,5102,60895 is 1

Step 1: Since 6628 > 5102, we apply the division lemma to 6628 and 5102, to get

6628 = 5102 x 1 + 1526

Step 2: Since the reminder 5102 ≠ 0, we apply division lemma to 1526 and 5102, to get

5102 = 1526 x 3 + 524

Step 3: We consider the new divisor 1526 and the new remainder 524, and apply the division lemma to get

1526 = 524 x 2 + 478

We consider the new divisor 524 and the new remainder 478,and apply the division lemma to get

524 = 478 x 1 + 46

We consider the new divisor 478 and the new remainder 46,and apply the division lemma to get

478 = 46 x 10 + 18

We consider the new divisor 46 and the new remainder 18,and apply the division lemma to get

46 = 18 x 2 + 10

We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get

18 = 10 x 1 + 8

We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get

10 = 8 x 1 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6628 and 5102 is 2

Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(46,18) = HCF(478,46) = HCF(524,478) = HCF(1526,524) = HCF(5102,1526) = HCF(6628,5102) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 60895 > 2, we apply the division lemma to 60895 and 2, to get

60895 = 2 x 30447 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 60895 is 1

Notice that 1 = HCF(2,1) = HCF(60895,2) .

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Frequently Asked Questions on HCF of 6628, 5102, 60895 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 6628, 5102, 60895?

Answer: HCF of 6628, 5102, 60895 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6628, 5102, 60895 using Euclid's Algorithm?

Answer: For arbitrary numbers 6628, 5102, 60895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.