Greatest Common Factor of 7740/169, 6149/7836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7740/169, 6149/7836

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 7740/169,6149/7836

Given fractions are 7740/169,6149/7836

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 7740,6149

Greatest Common Factor of Numerators i.e. GCF of 7740,6149 is 43 .

LCM of Denominators means LCM of 169,7836 as per the given fractions.

LCM of 169,7836 is 1324284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7740,6149

GCF of Fractions 7740/169,6149/7836 is 43/1324284

43 7740, 6149
180, 143

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 7740,6149 By Matching Biggest Common Factor Method

Greatest Common Factor of 7740,6149 By Matching Biggest Common Factor Method

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Factors of 6149

List of positive integer factors of 6149 that divides 6149 without a remainder.

1,11,13,43,143,473,559,6149

Greatest Common Factor

We found the factors 7740,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 7740,6149 is 43.

Lets's calculate LCM of 169,7836

Given numbers has no common factors except 1. So, there LCM is their product i.e 1324284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1324284

Therefore, the GCF of Fractions 7740/169,6149/7836 is 43/1324284

Least Common Multiple of 169,7836 with GCF Formula

Least Common Multiple of 169,7836 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 169,7836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,7836) = 1

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

GCF(169,7836) x common factors =1 x 1 = 1

LCM(169,7836) = ( 169 × 7836 ) / 1

LCM(169,7836) = 1324284 / 1

LCM(169,7836) = 1324284


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 7740/169, 6149/7836

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 7740/169, 6149/7836?

Answer: GCF of Numerators as per given numbers 7740/169, 6149/7836 is

GCF of Numerators i.e. for 7740,6149 is 43

LCM of denominators i.e. for 169,7836 is 1324284.

Thus, GCF of Fractions is 43/1324284.Finally, GCF of Fractions for 7740/169, 6149/7836 is 43/1324284.