Highest Common Factor of 6481, 9480, 50659 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 6481, 9480, 50659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6481, 9480, 50659 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 6481, 9480, 50659 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 6481, 9480, 50659 is 1.

HCF(6481, 9480, 50659) = 1

HCF of 6481, 9480, 50659 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 6481, 9480, 50659 is 1.

Highest Common Factor of 6481,9480,50659 using Euclid's algorithm

Highest Common Factor of 6481,9480,50659 is 1

Step 1: Since 9480 > 6481, we apply the division lemma to 9480 and 6481, to get

9480 = 6481 x 1 + 2999

Step 2: Since the reminder 6481 ≠ 0, we apply division lemma to 2999 and 6481, to get

6481 = 2999 x 2 + 483

Step 3: We consider the new divisor 2999 and the new remainder 483, and apply the division lemma to get

2999 = 483 x 6 + 101

We consider the new divisor 483 and the new remainder 101,and apply the division lemma to get

483 = 101 x 4 + 79

We consider the new divisor 101 and the new remainder 79,and apply the division lemma to get

101 = 79 x 1 + 22

We consider the new divisor 79 and the new remainder 22,and apply the division lemma to get

79 = 22 x 3 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6481 and 9480 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(79,22) = HCF(101,79) = HCF(483,101) = HCF(2999,483) = HCF(6481,2999) = HCF(9480,6481) .

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

Step 1: Since 50659 > 1, we apply the division lemma to 50659 and 1, to get

50659 = 1 x 50659 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50659 is 1

Notice that 1 = HCF(50659,1) .

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Frequently Asked Questions on HCF of 6481, 9480, 50659 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 6481, 9480, 50659?

Answer: HCF of 6481, 9480, 50659 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6481, 9480, 50659 using Euclid's Algorithm?

Answer: For arbitrary numbers 6481, 9480, 50659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.