Highest Common Factor of 195, 530, 316 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 195, 530, 316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 195, 530, 316 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 195, 530, 316 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 195, 530, 316 is 1.

HCF(195, 530, 316) = 1

HCF of 195, 530, 316 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 195, 530, 316 is 1.

Highest Common Factor of 195,530,316 using Euclid's algorithm

Highest Common Factor of 195,530,316 is 1

Step 1: Since 530 > 195, we apply the division lemma to 530 and 195, to get

530 = 195 x 2 + 140

Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 140 and 195, to get

195 = 140 x 1 + 55

Step 3: We consider the new divisor 140 and the new remainder 55, and apply the division lemma to get

140 = 55 x 2 + 30

We consider the new divisor 55 and the new remainder 30,and apply the division lemma to get

55 = 30 x 1 + 25

We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get

30 = 25 x 1 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 195 and 530 is 5

Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(55,30) = HCF(140,55) = HCF(195,140) = HCF(530,195) .

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

Step 1: Since 316 > 5, we apply the division lemma to 316 and 5, to get

316 = 5 x 63 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 316 is 1

Notice that 1 = HCF(5,1) = HCF(316,5) .

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Frequently Asked Questions on HCF of 195, 530, 316 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 195, 530, 316?

Answer: HCF of 195, 530, 316 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 195, 530, 316 using Euclid's Algorithm?

Answer: For arbitrary numbers 195, 530, 316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.