Highest Common Factor of 195, 616 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, 616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 195, 616 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, 616 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, 616 is 1.

HCF(195, 616) = 1

HCF of 195, 616 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, 616 is 1.

Highest Common Factor of 195,616 using Euclid's algorithm

Highest Common Factor of 195,616 is 1

Step 1: Since 616 > 195, we apply the division lemma to 616 and 195, to get

616 = 195 x 3 + 31

Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 31 and 195, to get

195 = 31 x 6 + 9

Step 3: We consider the new divisor 31 and the new remainder 9, and apply the division lemma to get

31 = 9 x 3 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 195 and 616 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(195,31) = HCF(616,195) .

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Frequently Asked Questions on HCF of 195, 616 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, 616?

Answer: HCF of 195, 616 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 195, 616 using Euclid's Algorithm?

Answer: For arbitrary numbers 195, 616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.