Highest Common Factor of 813, 4379, 9905 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 813, 4379, 9905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 813, 4379, 9905 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 813, 4379, 9905 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 813, 4379, 9905 is 1.

HCF(813, 4379, 9905) = 1

HCF of 813, 4379, 9905 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 813, 4379, 9905 is 1.

Highest Common Factor of 813,4379,9905 using Euclid's algorithm

Highest Common Factor of 813,4379,9905 is 1

Step 1: Since 4379 > 813, we apply the division lemma to 4379 and 813, to get

4379 = 813 x 5 + 314

Step 2: Since the reminder 813 ≠ 0, we apply division lemma to 314 and 813, to get

813 = 314 x 2 + 185

Step 3: We consider the new divisor 314 and the new remainder 185, and apply the division lemma to get

314 = 185 x 1 + 129

We consider the new divisor 185 and the new remainder 129,and apply the division lemma to get

185 = 129 x 1 + 56

We consider the new divisor 129 and the new remainder 56,and apply the division lemma to get

129 = 56 x 2 + 17

We consider the new divisor 56 and the new remainder 17,and apply the division lemma to get

56 = 17 x 3 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 813 and 4379 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(56,17) = HCF(129,56) = HCF(185,129) = HCF(314,185) = HCF(813,314) = HCF(4379,813) .

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

Step 1: Since 9905 > 1, we apply the division lemma to 9905 and 1, to get

9905 = 1 x 9905 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9905 is 1

Notice that 1 = HCF(9905,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 813, 4379, 9905 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 813, 4379, 9905?

Answer: HCF of 813, 4379, 9905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 813, 4379, 9905 using Euclid's Algorithm?

Answer: For arbitrary numbers 813, 4379, 9905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.