Greatest Common Factor of 3/31, 54/23, 77/120, 203/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/31, 54/23, 77/120, 203/389

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 3/31,54/23,77/120,203/389

Given fractions are 3/31,54/23,77/120,203/389

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 3,54,77,203

Greatest Common Factor of Numerators i.e. GCF of 3,54,77,203 is 1 .

LCM of Denominators means LCM of 31,23,120,389 as per the given fractions.

LCM of 31,23,120,389 is 33282840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,54,77,203

GCF of Fractions 3/31,54/23,77/120,203/389 is 1/33282840

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,54,77,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,54,77,203 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 3,54,77,203 . The biggest common factor number is the GCF number.
So the greatest common factor 3,54,77,203 is 1.

Lets's calculate LCM of 31,23,120,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 33282840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33282840

Therefore, the GCF of Fractions 3/31,54/23,77/120,203/389 is 1/33282840

Least Common Multiple of 31,23,120,389 with GCF Formula

Least Common Multiple of 31,23,120,389 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 31,23,120,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,23,120,389) = 1

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

GCF(31,23,120,389) x common factors =1 x 1 = 1

LCM(31,23,120,389) = ( 31 × 23 × 120 × 389 ) / 1

LCM(31,23,120,389) = 33282840 / 1

LCM(31,23,120,389) = 33282840


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 3/31, 54/23, 77/120, 203/389

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 3/31, 54/23, 77/120, 203/389?

Answer: GCF of Numerators as per given numbers 3/31, 54/23, 77/120, 203/389 is

GCF of Numerators i.e. for 3,54,77,203 is 1

LCM of denominators i.e. for 31,23,120,389 is 33282840.

Thus, GCF of Fractions is 1/33282840.Finally, GCF of Fractions for 3/31, 54/23, 77/120, 203/389 is 1/33282840.