Highest Common Factor of 776, 289, 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 776, 289, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 776, 289, 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 776, 289, 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 776, 289, 280 is 1.

HCF(776, 289, 280) = 1

HCF of 776, 289, 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 776, 289, 280 is 1.

Highest Common Factor of 776,289,280 using Euclid's algorithm

Highest Common Factor of 776,289,280 is 1

Step 1: Since 776 > 289, we apply the division lemma to 776 and 289, to get

776 = 289 x 2 + 198

Step 2: Since the reminder 289 ≠ 0, we apply division lemma to 198 and 289, to get

289 = 198 x 1 + 91

Step 3: We consider the new divisor 198 and the new remainder 91, and apply the division lemma to get

198 = 91 x 2 + 16

We consider the new divisor 91 and the new remainder 16,and apply the division lemma to get

91 = 16 x 5 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 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 776 and 289 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(91,16) = HCF(198,91) = HCF(289,198) = HCF(776,289) .

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

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

280 = 1 x 280 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 280 is 1

Notice that 1 = HCF(280,1) .

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Frequently Asked Questions on HCF of 776, 289, 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 776, 289, 280?

Answer: HCF of 776, 289, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 776, 289, 280 using Euclid's Algorithm?

Answer: For arbitrary numbers 776, 289, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.