Greatest Common Factor of 232/776, 5152/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/776, 5152/365

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 232/776,5152/365

Given fractions are 232/776,5152/365

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 232,5152

Greatest Common Factor of Numerators i.e. GCF of 232,5152 is 8 .

LCM of Denominators means LCM of 776,365 as per the given fractions.

LCM of 776,365 is 283240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,5152

GCF of Fractions 232/776,5152/365 is 8/283240

2 232, 5152
2 116, 2576
2 58, 1288
29, 644

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 232,5152 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,5152 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152

Greatest Common Factor

We found the factors 232,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 232,5152 is 8.

Lets's calculate LCM of 776,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 283240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/283240

Therefore, the GCF of Fractions 232/776,5152/365 is 8/283240

Least Common Multiple of 776,365 with GCF Formula

Least Common Multiple of 776,365 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 776,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,365) = 1

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

GCF(776,365) x common factors =1 x 1 = 1

LCM(776,365) = ( 776 × 365 ) / 1

LCM(776,365) = 283240 / 1

LCM(776,365) = 283240


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 232/776, 5152/365

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 232/776, 5152/365?

Answer: GCF of Numerators as per given numbers 232/776, 5152/365 is

GCF of Numerators i.e. for 232,5152 is 8

LCM of denominators i.e. for 776,365 is 283240.

Thus, GCF of Fractions is 8/283240.Finally, GCF of Fractions for 232/776, 5152/365 is 8/283240.