Highest Common Factor of 780, 4519, 3656 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 780, 4519, 3656 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 780, 4519, 3656 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 780, 4519, 3656 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 780, 4519, 3656 is 1.

HCF(780, 4519, 3656) = 1

HCF of 780, 4519, 3656 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 780, 4519, 3656 is 1.

Highest Common Factor of 780,4519,3656 using Euclid's algorithm

Highest Common Factor of 780,4519,3656 is 1

Step 1: Since 4519 > 780, we apply the division lemma to 4519 and 780, to get

4519 = 780 x 5 + 619

Step 2: Since the reminder 780 ≠ 0, we apply division lemma to 619 and 780, to get

780 = 619 x 1 + 161

Step 3: We consider the new divisor 619 and the new remainder 161, and apply the division lemma to get

619 = 161 x 3 + 136

We consider the new divisor 161 and the new remainder 136,and apply the division lemma to get

161 = 136 x 1 + 25

We consider the new divisor 136 and the new remainder 25,and apply the division lemma to get

136 = 25 x 5 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 780 and 4519 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(136,25) = HCF(161,136) = HCF(619,161) = HCF(780,619) = HCF(4519,780) .

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

Step 1: Since 3656 > 1, we apply the division lemma to 3656 and 1, to get

3656 = 1 x 3656 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3656 is 1

Notice that 1 = HCF(3656,1) .

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Frequently Asked Questions on HCF of 780, 4519, 3656 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 780, 4519, 3656?

Answer: HCF of 780, 4519, 3656 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 780, 4519, 3656 using Euclid's Algorithm?

Answer: For arbitrary numbers 780, 4519, 3656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.