Highest Common Factor of 195, 372, 781 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, 372, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 195, 372, 781 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, 372, 781 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, 372, 781 is 1.

HCF(195, 372, 781) = 1

HCF of 195, 372, 781 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 195, 372, 781 is 1.

Highest Common Factor of 195,372,781 using Euclid's algorithm

Highest Common Factor of 195,372,781 is 1

Step 1: Since 372 > 195, we apply the division lemma to 372 and 195, to get

372 = 195 x 1 + 177

Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 177 and 195, to get

195 = 177 x 1 + 18

Step 3: We consider the new divisor 177 and the new remainder 18, and apply the division lemma to get

177 = 18 x 9 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 195 and 372 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(177,18) = HCF(195,177) = HCF(372,195) .

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

Step 1: Since 781 > 3, we apply the division lemma to 781 and 3, to get

781 = 3 x 260 + 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 781 is 1

Notice that 1 = HCF(3,1) = HCF(781,3) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 195, 372, 781 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, 372, 781?

Answer: HCF of 195, 372, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 195, 372, 781 using Euclid's Algorithm?

Answer: For arbitrary numbers 195, 372, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.