Highest Common Factor of 781, 600, 865 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 781, 600, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 781, 600, 865 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 781, 600, 865 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 781, 600, 865 is 1.

HCF(781, 600, 865) = 1

HCF of 781, 600, 865 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 781, 600, 865 is 1.

Highest Common Factor of 781,600,865 using Euclid's algorithm

Highest Common Factor of 781,600,865 is 1

Step 1: Since 781 > 600, we apply the division lemma to 781 and 600, to get

781 = 600 x 1 + 181

Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 181 and 600, to get

600 = 181 x 3 + 57

Step 3: We consider the new divisor 181 and the new remainder 57, and apply the division lemma to get

181 = 57 x 3 + 10

We consider the new divisor 57 and the new remainder 10,and apply the division lemma to get

57 = 10 x 5 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 781 and 600 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(181,57) = HCF(600,181) = HCF(781,600) .

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

Step 1: Since 865 > 1, we apply the division lemma to 865 and 1, to get

865 = 1 x 865 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 865 is 1

Notice that 1 = HCF(865,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 781, 600, 865 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 781, 600, 865?

Answer: HCF of 781, 600, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 781, 600, 865 using Euclid's Algorithm?

Answer: For arbitrary numbers 781, 600, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.