Highest Common Factor of 3231, 7879 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 3231, 7879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3231, 7879 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 3231, 7879 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 3231, 7879 is 1.

HCF(3231, 7879) = 1

HCF of 3231, 7879 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 3231, 7879 is 1.

Highest Common Factor of 3231,7879 using Euclid's algorithm

Highest Common Factor of 3231,7879 is 1

Step 1: Since 7879 > 3231, we apply the division lemma to 7879 and 3231, to get

7879 = 3231 x 2 + 1417

Step 2: Since the reminder 3231 ≠ 0, we apply division lemma to 1417 and 3231, to get

3231 = 1417 x 2 + 397

Step 3: We consider the new divisor 1417 and the new remainder 397, and apply the division lemma to get

1417 = 397 x 3 + 226

We consider the new divisor 397 and the new remainder 226,and apply the division lemma to get

397 = 226 x 1 + 171

We consider the new divisor 226 and the new remainder 171,and apply the division lemma to get

226 = 171 x 1 + 55

We consider the new divisor 171 and the new remainder 55,and apply the division lemma to get

171 = 55 x 3 + 6

We consider the new divisor 55 and the new remainder 6,and apply the division lemma to get

55 = 6 x 9 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3231 and 7879 is 1

Notice that 1 = HCF(6,1) = HCF(55,6) = HCF(171,55) = HCF(226,171) = HCF(397,226) = HCF(1417,397) = HCF(3231,1417) = HCF(7879,3231) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3231, 7879 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 3231, 7879?

Answer: HCF of 3231, 7879 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3231, 7879 using Euclid's Algorithm?

Answer: For arbitrary numbers 3231, 7879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.