Highest Common Factor of 5301, 6828, 64190 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 5301, 6828, 64190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5301, 6828, 64190 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 5301, 6828, 64190 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 5301, 6828, 64190 is 1.

HCF(5301, 6828, 64190) = 1

HCF of 5301, 6828, 64190 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 5301, 6828, 64190 is 1.

Highest Common Factor of 5301,6828,64190 using Euclid's algorithm

Highest Common Factor of 5301,6828,64190 is 1

Step 1: Since 6828 > 5301, we apply the division lemma to 6828 and 5301, to get

6828 = 5301 x 1 + 1527

Step 2: Since the reminder 5301 ≠ 0, we apply division lemma to 1527 and 5301, to get

5301 = 1527 x 3 + 720

Step 3: We consider the new divisor 1527 and the new remainder 720, and apply the division lemma to get

1527 = 720 x 2 + 87

We consider the new divisor 720 and the new remainder 87,and apply the division lemma to get

720 = 87 x 8 + 24

We consider the new divisor 87 and the new remainder 24,and apply the division lemma to get

87 = 24 x 3 + 15

We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get

24 = 15 x 1 + 9

We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get

15 = 9 x 1 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5301 and 6828 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(87,24) = HCF(720,87) = HCF(1527,720) = HCF(5301,1527) = HCF(6828,5301) .

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

Step 1: Since 64190 > 3, we apply the division lemma to 64190 and 3, to get

64190 = 3 x 21396 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 64190 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(64190,3) .

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Frequently Asked Questions on HCF of 5301, 6828, 64190 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 5301, 6828, 64190?

Answer: HCF of 5301, 6828, 64190 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5301, 6828, 64190 using Euclid's Algorithm?

Answer: For arbitrary numbers 5301, 6828, 64190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.