Highest Common Factor of 3195, 3693, 78715 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 3195, 3693, 78715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3195, 3693, 78715 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 3195, 3693, 78715 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 3195, 3693, 78715 is 1.

HCF(3195, 3693, 78715) = 1

HCF of 3195, 3693, 78715 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 3195, 3693, 78715 is 1.

Highest Common Factor of 3195,3693,78715 using Euclid's algorithm

Highest Common Factor of 3195,3693,78715 is 1

Step 1: Since 3693 > 3195, we apply the division lemma to 3693 and 3195, to get

3693 = 3195 x 1 + 498

Step 2: Since the reminder 3195 ≠ 0, we apply division lemma to 498 and 3195, to get

3195 = 498 x 6 + 207

Step 3: We consider the new divisor 498 and the new remainder 207, and apply the division lemma to get

498 = 207 x 2 + 84

We consider the new divisor 207 and the new remainder 84,and apply the division lemma to get

207 = 84 x 2 + 39

We consider the new divisor 84 and the new remainder 39,and apply the division lemma to get

84 = 39 x 2 + 6

We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get

39 = 6 x 6 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3195 and 3693 is 3

Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(84,39) = HCF(207,84) = HCF(498,207) = HCF(3195,498) = HCF(3693,3195) .

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

Step 1: Since 78715 > 3, we apply the division lemma to 78715 and 3, to get

78715 = 3 x 26238 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 78715 is 1

Notice that 1 = HCF(3,1) = HCF(78715,3) .

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Frequently Asked Questions on HCF of 3195, 3693, 78715 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 3195, 3693, 78715?

Answer: HCF of 3195, 3693, 78715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3195, 3693, 78715 using Euclid's Algorithm?

Answer: For arbitrary numbers 3195, 3693, 78715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.