Greatest Common Factor of 658/5425, 235/6777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/5425, 235/6777

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 658/5425,235/6777

Given fractions are 658/5425,235/6777

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 658,235

Greatest Common Factor of Numerators i.e. GCF of 658,235 is 47 .

LCM of Denominators means LCM of 5425,6777 as per the given fractions.

LCM of 5425,6777 is 36765225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,235

GCF of Fractions 658/5425,235/6777 is 47/36765225

47 658, 235
14, 5

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 658,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,235 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 658,235 . The biggest common factor number is the GCF number.
So the greatest common factor 658,235 is 47.

Lets's calculate LCM of 5425,6777

Given numbers has no common factors except 1. So, there LCM is their product i.e 36765225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/36765225

Therefore, the GCF of Fractions 658/5425,235/6777 is 47/36765225

Least Common Multiple of 5425,6777 with GCF Formula

Least Common Multiple of 5425,6777 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 5425,6777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5425,6777) = 1

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

GCF(5425,6777) x common factors =1 x 1 = 1

LCM(5425,6777) = ( 5425 × 6777 ) / 1

LCM(5425,6777) = 36765225 / 1

LCM(5425,6777) = 36765225


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 658/5425, 235/6777

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 658/5425, 235/6777?

Answer: GCF of Numerators as per given numbers 658/5425, 235/6777 is

GCF of Numerators i.e. for 658,235 is 47

LCM of denominators i.e. for 5425,6777 is 36765225.

Thus, GCF of Fractions is 47/36765225.Finally, GCF of Fractions for 658/5425, 235/6777 is 47/36765225.