Highest Common Factor of 276, 977, 293 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 276, 977, 293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 276, 977, 293 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 276, 977, 293 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 276, 977, 293 is 1.

HCF(276, 977, 293) = 1

HCF of 276, 977, 293 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 276, 977, 293 is 1.

Highest Common Factor of 276,977,293 using Euclid's algorithm

Highest Common Factor of 276,977,293 is 1

Step 1: Since 977 > 276, we apply the division lemma to 977 and 276, to get

977 = 276 x 3 + 149

Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 149 and 276, to get

276 = 149 x 1 + 127

Step 3: We consider the new divisor 149 and the new remainder 127, and apply the division lemma to get

149 = 127 x 1 + 22

We consider the new divisor 127 and the new remainder 22,and apply the division lemma to get

127 = 22 x 5 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 276 and 977 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(127,22) = HCF(149,127) = HCF(276,149) = HCF(977,276) .

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

Step 1: Since 293 > 1, we apply the division lemma to 293 and 1, to get

293 = 1 x 293 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 293 is 1

Notice that 1 = HCF(293,1) .

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Frequently Asked Questions on HCF of 276, 977, 293 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 276, 977, 293?

Answer: HCF of 276, 977, 293 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 276, 977, 293 using Euclid's Algorithm?

Answer: For arbitrary numbers 276, 977, 293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.