Highest Common Factor of 276, 475, 817 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, 475, 817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 276, 475, 817 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, 475, 817 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, 475, 817 is 1.

HCF(276, 475, 817) = 1

HCF of 276, 475, 817 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, 475, 817 is 1.

Highest Common Factor of 276,475,817 using Euclid's algorithm

Highest Common Factor of 276,475,817 is 1

Step 1: Since 475 > 276, we apply the division lemma to 475 and 276, to get

475 = 276 x 1 + 199

Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 199 and 276, to get

276 = 199 x 1 + 77

Step 3: We consider the new divisor 199 and the new remainder 77, and apply the division lemma to get

199 = 77 x 2 + 45

We consider the new divisor 77 and the new remainder 45,and apply the division lemma to get

77 = 45 x 1 + 32

We consider the new divisor 45 and the new remainder 32,and apply the division lemma to get

45 = 32 x 1 + 13

We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get

32 = 13 x 2 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 276 and 475 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(45,32) = HCF(77,45) = HCF(199,77) = HCF(276,199) = HCF(475,276) .

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

Step 1: Since 817 > 1, we apply the division lemma to 817 and 1, to get

817 = 1 x 817 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 817 is 1

Notice that 1 = HCF(817,1) .

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Frequently Asked Questions on HCF of 276, 475, 817 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, 475, 817?

Answer: HCF of 276, 475, 817 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 276, 475, 817 using Euclid's Algorithm?

Answer: For arbitrary numbers 276, 475, 817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.