Highest Common Factor of 779, 280 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 779, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 779, 280 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 779, 280 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 779, 280 is 1.

HCF(779, 280) = 1

HCF of 779, 280 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 779, 280 is 1.

Highest Common Factor of 779,280 using Euclid's algorithm

Highest Common Factor of 779,280 is 1

Step 1: Since 779 > 280, we apply the division lemma to 779 and 280, to get

779 = 280 x 2 + 219

Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 219 and 280, to get

280 = 219 x 1 + 61

Step 3: We consider the new divisor 219 and the new remainder 61, and apply the division lemma to get

219 = 61 x 3 + 36

We consider the new divisor 61 and the new remainder 36,and apply the division lemma to get

61 = 36 x 1 + 25

We consider the new divisor 36 and the new remainder 25,and apply the division lemma to get

36 = 25 x 1 + 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 779 and 280 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(36,25) = HCF(61,36) = HCF(219,61) = HCF(280,219) = HCF(779,280) .

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Frequently Asked Questions on HCF of 779, 280 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 779, 280?

Answer: HCF of 779, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 779, 280 using Euclid's Algorithm?

Answer: For arbitrary numbers 779, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.