Highest Common Factor of 5875, 3527, 78834 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 5875, 3527, 78834 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5875, 3527, 78834 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 5875, 3527, 78834 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 5875, 3527, 78834 is 1.

HCF(5875, 3527, 78834) = 1

HCF of 5875, 3527, 78834 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 5875, 3527, 78834 is 1.

Highest Common Factor of 5875,3527,78834 using Euclid's algorithm

Highest Common Factor of 5875,3527,78834 is 1

Step 1: Since 5875 > 3527, we apply the division lemma to 5875 and 3527, to get

5875 = 3527 x 1 + 2348

Step 2: Since the reminder 3527 ≠ 0, we apply division lemma to 2348 and 3527, to get

3527 = 2348 x 1 + 1179

Step 3: We consider the new divisor 2348 and the new remainder 1179, and apply the division lemma to get

2348 = 1179 x 1 + 1169

We consider the new divisor 1179 and the new remainder 1169,and apply the division lemma to get

1179 = 1169 x 1 + 10

We consider the new divisor 1169 and the new remainder 10,and apply the division lemma to get

1169 = 10 x 116 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5875 and 3527 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(1169,10) = HCF(1179,1169) = HCF(2348,1179) = HCF(3527,2348) = HCF(5875,3527) .

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

Step 1: Since 78834 > 1, we apply the division lemma to 78834 and 1, to get

78834 = 1 x 78834 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78834 is 1

Notice that 1 = HCF(78834,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5875, 3527, 78834 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 5875, 3527, 78834?

Answer: HCF of 5875, 3527, 78834 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5875, 3527, 78834 using Euclid's Algorithm?

Answer: For arbitrary numbers 5875, 3527, 78834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.