Greatest Common Factor of 3038/560, 7107/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3038/560, 7107/978

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 3038/560,7107/978

Given fractions are 3038/560,7107/978

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 3038,7107

Greatest Common Factor of Numerators i.e. GCF of 3038,7107 is 1 .

LCM of Denominators means LCM of 560,978 as per the given fractions.

LCM of 560,978 is 273840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3038,7107

GCF of Fractions 3038/560,7107/978 is 1/273840

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

Greatest Common Factor of 3038,7107 By Matching Biggest Common Factor Method

Greatest Common Factor of 3038,7107 By Matching Biggest Common Factor Method

Factors of 3038

List of positive integer factors of 3038 that divides 3038 without a remainder.

1,2,7,14,31,49,62,98,217,434,1519,3038

Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1,3,23,69,103,309,2369,7107

Greatest Common Factor

We found the factors 3038,7107 . The biggest common factor number is the GCF number.
So the greatest common factor 3038,7107 is 1.

Lets's calculate LCM of 560,978

2 560, 978
280, 489

∴ So the LCM of the given numbers is 2 x 280 x 489 = 273840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273840

Therefore, the GCF of Fractions 3038/560,7107/978 is 1/273840

Least Common Multiple of 560,978 with GCF Formula

Least Common Multiple of 560,978 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 560,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,978) = 2

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

GCF(560,978) x common factors =2 x 1 = 2

LCM(560,978) = ( 560 × 978 ) / 2

LCM(560,978) = 547680 / 2

LCM(560,978) = 273840


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 3038/560, 7107/978

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 3038/560, 7107/978?

Answer: GCF of Numerators as per given numbers 3038/560, 7107/978 is

GCF of Numerators i.e. for 3038,7107 is 1

LCM of denominators i.e. for 560,978 is 273840.

Thus, GCF of Fractions is 1/273840.Finally, GCF of Fractions for 3038/560, 7107/978 is 1/273840.