Greatest Common Factor of 139/306, 5528/2220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 139/306, 5528/2220

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 139/306,5528/2220

Given fractions are 139/306,5528/2220

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 139,5528

Greatest Common Factor of Numerators i.e. GCF of 139,5528 is 1 .

LCM of Denominators means LCM of 306,2220 as per the given fractions.

LCM of 306,2220 is 113220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 139,5528

GCF of Fractions 139/306,5528/2220 is 1/113220

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

Greatest Common Factor of 139,5528 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,5528 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 5528

List of positive integer factors of 5528 that divides 5528 without a remainder.

1,2,4,8,691,1382,2764,5528

Greatest Common Factor

We found the factors 139,5528 . The biggest common factor number is the GCF number.
So the greatest common factor 139,5528 is 1.

Lets's calculate LCM of 306,2220

2 306, 2220
3 153, 1110
51, 370

∴ So the LCM of the given numbers is 2 x 3 x 51 x 370 = 113220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113220

Therefore, the GCF of Fractions 139/306,5528/2220 is 1/113220

Least Common Multiple of 306,2220 with GCF Formula

Least Common Multiple of 306,2220 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 306,2220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,2220) = 6

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

GCF(306,2220) x common factors =6 x 1 = 6

LCM(306,2220) = ( 306 × 2220 ) / 6

LCM(306,2220) = 679320 / 6

LCM(306,2220) = 113220


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 139/306, 5528/2220

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 139/306, 5528/2220?

Answer: GCF of Numerators as per given numbers 139/306, 5528/2220 is

GCF of Numerators i.e. for 139,5528 is 1

LCM of denominators i.e. for 306,2220 is 113220.

Thus, GCF of Fractions is 1/113220.Finally, GCF of Fractions for 139/306, 5528/2220 is 1/113220.