Highest Common Factor of 515, 7618, 4009 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 515, 7618, 4009 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 7618, 4009 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 515, 7618, 4009 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 515, 7618, 4009 is 1.

HCF(515, 7618, 4009) = 1

HCF of 515, 7618, 4009 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 515, 7618, 4009 is 1.

Highest Common Factor of 515,7618,4009 using Euclid's algorithm

Highest Common Factor of 515,7618,4009 is 1

Step 1: Since 7618 > 515, we apply the division lemma to 7618 and 515, to get

7618 = 515 x 14 + 408

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 408 and 515, to get

515 = 408 x 1 + 107

Step 3: We consider the new divisor 408 and the new remainder 107, and apply the division lemma to get

408 = 107 x 3 + 87

We consider the new divisor 107 and the new remainder 87,and apply the division lemma to get

107 = 87 x 1 + 20

We consider the new divisor 87 and the new remainder 20,and apply the division lemma to get

87 = 20 x 4 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 7618 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(87,20) = HCF(107,87) = HCF(408,107) = HCF(515,408) = HCF(7618,515) .

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

Step 1: Since 4009 > 1, we apply the division lemma to 4009 and 1, to get

4009 = 1 x 4009 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4009 is 1

Notice that 1 = HCF(4009,1) .

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Frequently Asked Questions on HCF of 515, 7618, 4009 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 515, 7618, 4009?

Answer: HCF of 515, 7618, 4009 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 7618, 4009 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 7618, 4009 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.