Greatest Common Factor of 3862/726, 2220/2642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3862/726, 2220/2642

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3862/726,2220/2642

Given fractions are 3862/726,2220/2642

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3862,2220

Greatest Common Factor of Numerators i.e. GCF of 3862,2220 is 2 .

LCM of Denominators means LCM of 726,2642 as per the given fractions.

LCM of 726,2642 is 959046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3862,2220

GCF of Fractions 3862/726,2220/2642 is 2/959046

2 3862, 2220
1931, 1110

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3862,2220 By Matching Biggest Common Factor Method

Greatest Common Factor of 3862,2220 By Matching Biggest Common Factor Method

Factors of 3862

List of positive integer factors of 3862 that divides 3862 without a remainder.

1,2,1931,3862

Factors of 2220

List of positive integer factors of 2220 that divides 2220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220

Greatest Common Factor

We found the factors 3862,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 3862,2220 is 2.

Lets's calculate LCM of 726,2642

2 726, 2642
363, 1321

∴ So the LCM of the given numbers is 2 x 363 x 1321 = 959046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/959046

Therefore, the GCF of Fractions 3862/726,2220/2642 is 2/959046

Least Common Multiple of 726,2642 with GCF Formula

Least Common Multiple of 726,2642 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 726,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,2642) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(726,2642) x common factors =2 x 1 = 2

LCM(726,2642) = ( 726 × 2642 ) / 2

LCM(726,2642) = 1918092 / 2

LCM(726,2642) = 959046


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3862/726, 2220/2642

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3862/726, 2220/2642?

Answer: GCF of Numerators as per given numbers 3862/726, 2220/2642 is

GCF of Numerators i.e. for 3862,2220 is 2

LCM of denominators i.e. for 726,2642 is 959046.

Thus, GCF of Fractions is 2/959046.Finally, GCF of Fractions for 3862/726, 2220/2642 is 2/959046.