Greatest Common Factor of 140/320, 1948/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/320, 1948/315

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 140/320,1948/315

Given fractions are 140/320,1948/315

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 140,1948

Greatest Common Factor of Numerators i.e. GCF of 140,1948 is 4 .

LCM of Denominators means LCM of 320,315 as per the given fractions.

LCM of 320,315 is 20160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,1948

GCF of Fractions 140/320,1948/315 is 4/20160

2 140, 1948
2 70, 974
35, 487

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 140,1948 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,1948 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 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1,2,4,487,974,1948

Greatest Common Factor

We found the factors 140,1948 . The biggest common factor number is the GCF number.
So the greatest common factor 140,1948 is 4.

Lets's calculate LCM of 320,315

5 320, 315
64, 63

∴ So the LCM of the given numbers is 5 x 64 x 63 = 20160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20160

Therefore, the GCF of Fractions 140/320,1948/315 is 4/20160

Least Common Multiple of 320,315 with GCF Formula

Least Common Multiple of 320,315 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 320,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,315) = 5

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

GCF(320,315) x common factors =5 x 1 = 5

LCM(320,315) = ( 320 × 315 ) / 5

LCM(320,315) = 100800 / 5

LCM(320,315) = 20160


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 140/320, 1948/315

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 140/320, 1948/315?

Answer: GCF of Numerators as per given numbers 140/320, 1948/315 is

GCF of Numerators i.e. for 140,1948 is 4

LCM of denominators i.e. for 320,315 is 20160.

Thus, GCF of Fractions is 4/20160.Finally, GCF of Fractions for 140/320, 1948/315 is 4/20160.