Greatest Common Factor of 101/320, 202/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/320, 202/134

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 101/320,202/134

Given fractions are 101/320,202/134

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 101,202

Greatest Common Factor of Numerators i.e. GCF of 101,202 is 101 .

LCM of Denominators means LCM of 320,134 as per the given fractions.

LCM of 320,134 is 21440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,202

GCF of Fractions 101/320,202/134 is 101/21440

101 101, 202
1, 2

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 101,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,202 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 101,202 . The biggest common factor number is the GCF number.
So the greatest common factor 101,202 is 101.

Lets's calculate LCM of 320,134

2 320, 134
160, 67

∴ So the LCM of the given numbers is 2 x 160 x 67 = 21440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/21440

Therefore, the GCF of Fractions 101/320,202/134 is 101/21440

Least Common Multiple of 320,134 with GCF Formula

Least Common Multiple of 320,134 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 320,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,134) = 2

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

GCF(320,134) x common factors =2 x 1 = 2

LCM(320,134) = ( 320 × 134 ) / 2

LCM(320,134) = 42880 / 2

LCM(320,134) = 21440


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 101/320, 202/134

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 101/320, 202/134?

Answer: GCF of Numerators as per given numbers 101/320, 202/134 is

GCF of Numerators i.e. for 101,202 is 101

LCM of denominators i.e. for 320,134 is 21440.

Thus, GCF of Fractions is 101/21440.Finally, GCF of Fractions for 101/320, 202/134 is 101/21440.