Highest Common Factor of 5329, 6142, 40479 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 5329, 6142, 40479 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5329, 6142, 40479 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 5329, 6142, 40479 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 5329, 6142, 40479 is 1.

HCF(5329, 6142, 40479) = 1

HCF of 5329, 6142, 40479 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 5329, 6142, 40479 is 1.

Highest Common Factor of 5329,6142,40479 using Euclid's algorithm

Highest Common Factor of 5329,6142,40479 is 1

Step 1: Since 6142 > 5329, we apply the division lemma to 6142 and 5329, to get

6142 = 5329 x 1 + 813

Step 2: Since the reminder 5329 ≠ 0, we apply division lemma to 813 and 5329, to get

5329 = 813 x 6 + 451

Step 3: We consider the new divisor 813 and the new remainder 451, and apply the division lemma to get

813 = 451 x 1 + 362

We consider the new divisor 451 and the new remainder 362,and apply the division lemma to get

451 = 362 x 1 + 89

We consider the new divisor 362 and the new remainder 89,and apply the division lemma to get

362 = 89 x 4 + 6

We consider the new divisor 89 and the new remainder 6,and apply the division lemma to get

89 = 6 x 14 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5329 and 6142 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(89,6) = HCF(362,89) = HCF(451,362) = HCF(813,451) = HCF(5329,813) = HCF(6142,5329) .

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

Step 1: Since 40479 > 1, we apply the division lemma to 40479 and 1, to get

40479 = 1 x 40479 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40479 is 1

Notice that 1 = HCF(40479,1) .

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Frequently Asked Questions on HCF of 5329, 6142, 40479 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 5329, 6142, 40479?

Answer: HCF of 5329, 6142, 40479 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5329, 6142, 40479 using Euclid's Algorithm?

Answer: For arbitrary numbers 5329, 6142, 40479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.