Greatest Common Factor of 248/75, 232/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/75, 232/178

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 248/75,232/178

Given fractions are 248/75,232/178

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 248,232

Greatest Common Factor of Numerators i.e. GCF of 248,232 is 8 .

LCM of Denominators means LCM of 75,178 as per the given fractions.

LCM of 75,178 is 13350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,232

GCF of Fractions 248/75,232/178 is 8/13350

2 248, 232
2 124, 116
2 62, 58
31, 29

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

Greatest Common Factor of 248,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,232 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 232

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

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

Greatest Common Factor

We found the factors 248,232 . The biggest common factor number is the GCF number.
So the greatest common factor 248,232 is 8.

Lets's calculate LCM of 75,178

Given numbers has no common factors except 1. So, there LCM is their product i.e 13350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/13350

Therefore, the GCF of Fractions 248/75,232/178 is 8/13350

Least Common Multiple of 75,178 with GCF Formula

Least Common Multiple of 75,178 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 75,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,178) = 1

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

GCF(75,178) x common factors =1 x 1 = 1

LCM(75,178) = ( 75 × 178 ) / 1

LCM(75,178) = 13350 / 1

LCM(75,178) = 13350


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 248/75, 232/178

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 248/75, 232/178?

Answer: GCF of Numerators as per given numbers 248/75, 232/178 is

GCF of Numerators i.e. for 248,232 is 8

LCM of denominators i.e. for 75,178 is 13350.

Thus, GCF of Fractions is 8/13350.Finally, GCF of Fractions for 248/75, 232/178 is 8/13350.