Highest Common Factor of 796, 653, 911 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 796, 653, 911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 796, 653, 911 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 796, 653, 911 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 796, 653, 911 is 1.

HCF(796, 653, 911) = 1

HCF of 796, 653, 911 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 796, 653, 911 is 1.

Highest Common Factor of 796,653,911 using Euclid's algorithm

Highest Common Factor of 796,653,911 is 1

Step 1: Since 796 > 653, we apply the division lemma to 796 and 653, to get

796 = 653 x 1 + 143

Step 2: Since the reminder 653 ≠ 0, we apply division lemma to 143 and 653, to get

653 = 143 x 4 + 81

Step 3: We consider the new divisor 143 and the new remainder 81, and apply the division lemma to get

143 = 81 x 1 + 62

We consider the new divisor 81 and the new remainder 62,and apply the division lemma to get

81 = 62 x 1 + 19

We consider the new divisor 62 and the new remainder 19,and apply the division lemma to get

62 = 19 x 3 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 796 and 653 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(62,19) = HCF(81,62) = HCF(143,81) = HCF(653,143) = HCF(796,653) .

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

Step 1: Since 911 > 1, we apply the division lemma to 911 and 1, to get

911 = 1 x 911 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 911 is 1

Notice that 1 = HCF(911,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 796, 653, 911 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 796, 653, 911?

Answer: HCF of 796, 653, 911 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 796, 653, 911 using Euclid's Algorithm?

Answer: For arbitrary numbers 796, 653, 911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.