Greatest Common Factor of 4240/150, 7682/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4240/150, 7682/642

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 4240/150,7682/642

Given fractions are 4240/150,7682/642

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 4240,7682

Greatest Common Factor of Numerators i.e. GCF of 4240,7682 is 2 .

LCM of Denominators means LCM of 150,642 as per the given fractions.

LCM of 150,642 is 16050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4240,7682

GCF of Fractions 4240/150,7682/642 is 2/16050

2 4240, 7682
2120, 3841

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

Greatest Common Factor of 4240,7682 By Matching Biggest Common Factor Method

Greatest Common Factor of 4240,7682 By Matching Biggest Common Factor Method

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240

Factors of 7682

List of positive integer factors of 7682 that divides 7682 without a remainder.

1,2,23,46,167,334,3841,7682

Greatest Common Factor

We found the factors 4240,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 4240,7682 is 2.

Lets's calculate LCM of 150,642

2 150, 642
3 75, 321
25, 107

∴ So the LCM of the given numbers is 2 x 3 x 25 x 107 = 16050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16050

Therefore, the GCF of Fractions 4240/150,7682/642 is 2/16050

Least Common Multiple of 150,642 with GCF Formula

Least Common Multiple of 150,642 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 150,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,642) = 6

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

GCF(150,642) x common factors =6 x 1 = 6

LCM(150,642) = ( 150 × 642 ) / 6

LCM(150,642) = 96300 / 6

LCM(150,642) = 16050


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 4240/150, 7682/642

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 4240/150, 7682/642?

Answer: GCF of Numerators as per given numbers 4240/150, 7682/642 is

GCF of Numerators i.e. for 4240,7682 is 2

LCM of denominators i.e. for 150,642 is 16050.

Thus, GCF of Fractions is 2/16050.Finally, GCF of Fractions for 4240/150, 7682/642 is 2/16050.