Highest Common Factor of 275, 983, 115 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 275, 983, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 275, 983, 115 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 275, 983, 115 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 275, 983, 115 is 1.

HCF(275, 983, 115) = 1

HCF of 275, 983, 115 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 275, 983, 115 is 1.

Highest Common Factor of 275,983,115 using Euclid's algorithm

Highest Common Factor of 275,983,115 is 1

Step 1: Since 983 > 275, we apply the division lemma to 983 and 275, to get

983 = 275 x 3 + 158

Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 158 and 275, to get

275 = 158 x 1 + 117

Step 3: We consider the new divisor 158 and the new remainder 117, and apply the division lemma to get

158 = 117 x 1 + 41

We consider the new divisor 117 and the new remainder 41,and apply the division lemma to get

117 = 41 x 2 + 35

We consider the new divisor 41 and the new remainder 35,and apply the division lemma to get

41 = 35 x 1 + 6

We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get

35 = 6 x 5 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 275 and 983 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(41,35) = HCF(117,41) = HCF(158,117) = HCF(275,158) = HCF(983,275) .

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

Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get

115 = 1 x 115 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1

Notice that 1 = HCF(115,1) .

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Frequently Asked Questions on HCF of 275, 983, 115 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 275, 983, 115?

Answer: HCF of 275, 983, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 275, 983, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 275, 983, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.