Greatest Common Factor of 7034/48, 7302/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7034/48, 7302/311

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 7034/48,7302/311

Given fractions are 7034/48,7302/311

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 7034,7302

Greatest Common Factor of Numerators i.e. GCF of 7034,7302 is 2 .

LCM of Denominators means LCM of 48,311 as per the given fractions.

LCM of 48,311 is 14928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7034,7302

GCF of Fractions 7034/48,7302/311 is 2/14928

2 7034, 7302
3517, 3651

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

Greatest Common Factor of 7034,7302 By Matching Biggest Common Factor Method

Greatest Common Factor of 7034,7302 By Matching Biggest Common Factor Method

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1,2,3517,7034

Factors of 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1,2,3,6,1217,2434,3651,7302

Greatest Common Factor

We found the factors 7034,7302 . The biggest common factor number is the GCF number.
So the greatest common factor 7034,7302 is 2.

Lets's calculate LCM of 48,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 14928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14928

Therefore, the GCF of Fractions 7034/48,7302/311 is 2/14928

Least Common Multiple of 48,311 with GCF Formula

Least Common Multiple of 48,311 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 48,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,311) = 1

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

GCF(48,311) x common factors =1 x 1 = 1

LCM(48,311) = ( 48 × 311 ) / 1

LCM(48,311) = 14928 / 1

LCM(48,311) = 14928


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 7034/48, 7302/311

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 7034/48, 7302/311?

Answer: GCF of Numerators as per given numbers 7034/48, 7302/311 is

GCF of Numerators i.e. for 7034,7302 is 2

LCM of denominators i.e. for 48,311 is 14928.

Thus, GCF of Fractions is 2/14928.Finally, GCF of Fractions for 7034/48, 7302/311 is 2/14928.