Greatest Common Factor of 294/53, 342/7751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/53, 342/7751

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 294/53,342/7751

Given fractions are 294/53,342/7751

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 294,342

Greatest Common Factor of Numerators i.e. GCF of 294,342 is 6 .

LCM of Denominators means LCM of 53,7751 as per the given fractions.

LCM of 53,7751 is 410803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,342

GCF of Fractions 294/53,342/7751 is 6/410803

2 294, 342
3 147, 171
49, 57

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 294,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,342 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 294,342 . The biggest common factor number is the GCF number.
So the greatest common factor 294,342 is 6.

Lets's calculate LCM of 53,7751

Given numbers has no common factors except 1. So, there LCM is their product i.e 410803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/410803

Therefore, the GCF of Fractions 294/53,342/7751 is 6/410803

Least Common Multiple of 53,7751 with GCF Formula

Least Common Multiple of 53,7751 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 53,7751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,7751) = 1

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

GCF(53,7751) x common factors =1 x 1 = 1

LCM(53,7751) = ( 53 × 7751 ) / 1

LCM(53,7751) = 410803 / 1

LCM(53,7751) = 410803


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 294/53, 342/7751

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 294/53, 342/7751?

Answer: GCF of Numerators as per given numbers 294/53, 342/7751 is

GCF of Numerators i.e. for 294,342 is 6

LCM of denominators i.e. for 53,7751 is 410803.

Thus, GCF of Fractions is 6/410803.Finally, GCF of Fractions for 294/53, 342/7751 is 6/410803.