Greatest Common Factor of 140/58, 2954/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/58, 2954/204

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 140/58,2954/204

Given fractions are 140/58,2954/204

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 140,2954

Greatest Common Factor of Numerators i.e. GCF of 140,2954 is 14 .

LCM of Denominators means LCM of 58,204 as per the given fractions.

LCM of 58,204 is 5916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,2954

GCF of Fractions 140/58,2954/204 is 14/5916

2 140, 2954
7 70, 1477
10, 211

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 140,2954 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,2954 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1,2,7,14,211,422,1477,2954

Greatest Common Factor

We found the factors 140,2954 . The biggest common factor number is the GCF number.
So the greatest common factor 140,2954 is 14.

Lets's calculate LCM of 58,204

2 58, 204
29, 102

∴ So the LCM of the given numbers is 2 x 29 x 102 = 5916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5916

Therefore, the GCF of Fractions 140/58,2954/204 is 14/5916

Least Common Multiple of 58,204 with GCF Formula

Least Common Multiple of 58,204 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 58,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,204) = 2

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

GCF(58,204) x common factors =2 x 1 = 2

LCM(58,204) = ( 58 × 204 ) / 2

LCM(58,204) = 11832 / 2

LCM(58,204) = 5916


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 140/58, 2954/204

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 140/58, 2954/204?

Answer: GCF of Numerators as per given numbers 140/58, 2954/204 is

GCF of Numerators i.e. for 140,2954 is 14

LCM of denominators i.e. for 58,204 is 5916.

Thus, GCF of Fractions is 14/5916.Finally, GCF of Fractions for 140/58, 2954/204 is 14/5916.