Greatest Common Factor of 55/20, 30/83, 308/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/20, 30/83, 308/380

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 55/20,30/83,308/380

Given fractions are 55/20,30/83,308/380

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 55,30,308

Greatest Common Factor of Numerators i.e. GCF of 55,30,308 is 1 .

LCM of Denominators means LCM of 20,83,380 as per the given fractions.

LCM of 20,83,380 is 31540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,30,308

GCF of Fractions 55/20,30/83,308/380 is 1/31540

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

Greatest Common Factor of 55,30,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,30,308 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 55,30,308 . The biggest common factor number is the GCF number.
So the greatest common factor 55,30,308 is 1.

Lets's calculate LCM of 20,83,380

2 20, 83, 380
2 10, 83, 190
5 5, 83, 95
1, 83, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 83 x 19 = 31540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31540

Therefore, the GCF of Fractions 55/20,30/83,308/380 is 1/31540

Least Common Multiple of 20,83,380 with GCF Formula

Least Common Multiple of 20,83,380 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 20,83,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,83,380) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,83,380) x common factors =1 x 20 = 20

LCM(20,83,380) = ( 20 × 83 × 380 ) / 20

LCM(20,83,380) = 630800 / 20

LCM(20,83,380) = 31540


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 55/20, 30/83, 308/380

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 55/20, 30/83, 308/380?

Answer: GCF of Numerators as per given numbers 55/20, 30/83, 308/380 is

GCF of Numerators i.e. for 55,30,308 is 1

LCM of denominators i.e. for 20,83,380 is 31540.

Thus, GCF of Fractions is 1/31540.Finally, GCF of Fractions for 55/20, 30/83, 308/380 is 1/31540.