Greatest Common Factor of 5007/14, 7935/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5007/14, 7935/980

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 5007/14,7935/980

Given fractions are 5007/14,7935/980

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 5007,7935

Greatest Common Factor of Numerators i.e. GCF of 5007,7935 is 3 .

LCM of Denominators means LCM of 14,980 as per the given fractions.

LCM of 14,980 is 980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5007,7935

GCF of Fractions 5007/14,7935/980 is 3/980

3 5007, 7935
1669, 2645

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5007,7935 By Matching Biggest Common Factor Method

Greatest Common Factor of 5007,7935 By Matching Biggest Common Factor Method

Factors of 5007

List of positive integer factors of 5007 that divides 5007 without a remainder.

1,3,1669,5007

Factors of 7935

List of positive integer factors of 7935 that divides 7935 without a remainder.

1,3,5,15,23,69,115,345,529,1587,2645,7935

Greatest Common Factor

We found the factors 5007,7935 . The biggest common factor number is the GCF number.
So the greatest common factor 5007,7935 is 3.

Lets's calculate LCM of 14,980

2 14, 980
7 7, 490
1, 70

∴ So the LCM of the given numbers is 2 x 7 x 1 x 70 = 980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/980

Therefore, the GCF of Fractions 5007/14,7935/980 is 3/980

Least Common Multiple of 14,980 with GCF Formula

Least Common Multiple of 14,980 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 14,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,980) = 14

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

GCF(14,980) x common factors =14 x 1 = 14

LCM(14,980) = ( 14 × 980 ) / 14

LCM(14,980) = 13720 / 14

LCM(14,980) = 980


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 5007/14, 7935/980

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 5007/14, 7935/980?

Answer: GCF of Numerators as per given numbers 5007/14, 7935/980 is

GCF of Numerators i.e. for 5007,7935 is 3

LCM of denominators i.e. for 14,980 is 980.

Thus, GCF of Fractions is 3/980.Finally, GCF of Fractions for 5007/14, 7935/980 is 3/980.