Greatest Common Factor of 7288/639, 5325/6870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7288/639, 5325/6870

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 7288/639,5325/6870

Given fractions are 7288/639,5325/6870

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 7288,5325

Greatest Common Factor of Numerators i.e. GCF of 7288,5325 is 1 .

LCM of Denominators means LCM of 639,6870 as per the given fractions.

LCM of 639,6870 is 1463310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7288,5325

GCF of Fractions 7288/639,5325/6870 is 1/1463310

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

Greatest Common Factor of 7288,5325 By Matching Biggest Common Factor Method

Greatest Common Factor of 7288,5325 By Matching Biggest Common Factor Method

Factors of 7288

List of positive integer factors of 7288 that divides 7288 without a remainder.

1,2,4,8,911,1822,3644,7288

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Greatest Common Factor

We found the factors 7288,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 7288,5325 is 1.

Lets's calculate LCM of 639,6870

3 639, 6870
213, 2290

∴ So the LCM of the given numbers is 3 x 213 x 2290 = 1463310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1463310

Therefore, the GCF of Fractions 7288/639,5325/6870 is 1/1463310

Least Common Multiple of 639,6870 with GCF Formula

Least Common Multiple of 639,6870 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 639,6870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,6870) = 3

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

GCF(639,6870) x common factors =3 x 1 = 3

LCM(639,6870) = ( 639 × 6870 ) / 3

LCM(639,6870) = 4389930 / 3

LCM(639,6870) = 1463310


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 7288/639, 5325/6870

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 7288/639, 5325/6870?

Answer: GCF of Numerators as per given numbers 7288/639, 5325/6870 is

GCF of Numerators i.e. for 7288,5325 is 1

LCM of denominators i.e. for 639,6870 is 1463310.

Thus, GCF of Fractions is 1/1463310.Finally, GCF of Fractions for 7288/639, 5325/6870 is 1/1463310.