Highest Common Factor of 769, 5053, 2718 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 769, 5053, 2718 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 769, 5053, 2718 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 769, 5053, 2718 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 769, 5053, 2718 is 1.

HCF(769, 5053, 2718) = 1

HCF of 769, 5053, 2718 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 769, 5053, 2718 is 1.

Highest Common Factor of 769,5053,2718 using Euclid's algorithm

Highest Common Factor of 769,5053,2718 is 1

Step 1: Since 5053 > 769, we apply the division lemma to 5053 and 769, to get

5053 = 769 x 6 + 439

Step 2: Since the reminder 769 ≠ 0, we apply division lemma to 439 and 769, to get

769 = 439 x 1 + 330

Step 3: We consider the new divisor 439 and the new remainder 330, and apply the division lemma to get

439 = 330 x 1 + 109

We consider the new divisor 330 and the new remainder 109,and apply the division lemma to get

330 = 109 x 3 + 3

We consider the new divisor 109 and the new remainder 3,and apply the division lemma to get

109 = 3 x 36 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 769 and 5053 is 1

Notice that 1 = HCF(3,1) = HCF(109,3) = HCF(330,109) = HCF(439,330) = HCF(769,439) = HCF(5053,769) .

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

Step 1: Since 2718 > 1, we apply the division lemma to 2718 and 1, to get

2718 = 1 x 2718 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2718 is 1

Notice that 1 = HCF(2718,1) .

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Frequently Asked Questions on HCF of 769, 5053, 2718 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 769, 5053, 2718?

Answer: HCF of 769, 5053, 2718 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 769, 5053, 2718 using Euclid's Algorithm?

Answer: For arbitrary numbers 769, 5053, 2718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.