Highest Common Factor of 530, 878, 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 530, 878, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 530, 878, 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 530, 878, 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 530, 878, 115 is 1.

HCF(530, 878, 115) = 1

HCF of 530, 878, 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 530, 878, 115 is 1.

Highest Common Factor of 530,878,115 using Euclid's algorithm

Highest Common Factor of 530,878,115 is 1

Step 1: Since 878 > 530, we apply the division lemma to 878 and 530, to get

878 = 530 x 1 + 348

Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 348 and 530, to get

530 = 348 x 1 + 182

Step 3: We consider the new divisor 348 and the new remainder 182, and apply the division lemma to get

348 = 182 x 1 + 166

We consider the new divisor 182 and the new remainder 166,and apply the division lemma to get

182 = 166 x 1 + 16

We consider the new divisor 166 and the new remainder 16,and apply the division lemma to get

166 = 16 x 10 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 530 and 878 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(166,16) = HCF(182,166) = HCF(348,182) = HCF(530,348) = HCF(878,530) .

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

Step 1: Since 115 > 2, we apply the division lemma to 115 and 2, to get

115 = 2 x 57 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 115 is 1

Notice that 1 = HCF(2,1) = HCF(115,2) .

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Frequently Asked Questions on HCF of 530, 878, 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 530, 878, 115?

Answer: HCF of 530, 878, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 530, 878, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 530, 878, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.