Greatest Common Factor of 7125/213, 5719/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7125/213, 5719/597

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 7125/213,5719/597

Given fractions are 7125/213,5719/597

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 7125,5719

Greatest Common Factor of Numerators i.e. GCF of 7125,5719 is 19 .

LCM of Denominators means LCM of 213,597 as per the given fractions.

LCM of 213,597 is 42387 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7125,5719

GCF of Fractions 7125/213,5719/597 is 19/42387

19 7125, 5719
375, 301

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7125,5719 By Matching Biggest Common Factor Method

Greatest Common Factor of 7125,5719 By Matching Biggest Common Factor Method

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Factors of 5719

List of positive integer factors of 5719 that divides 5719 without a remainder.

1,7,19,43,133,301,817,5719

Greatest Common Factor

We found the factors 7125,5719 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,5719 is 19.


Lets's calculate LCM of 213,597

3 213, 597
71, 199

∴ So the LCM of the given numbers is 3 x 71 x 199 = 42387

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/42387

Therefore, the GCF of Fractions 7125/213,5719/597 is 19/42387

Least Common Multiple of 213,597 with GCF Formula

Least Common Multiple of 213,597 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 213,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,597) = 3

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

GCF(213,597) x common factors =3 x 1 = 3

LCM(213,597) = ( 213 × 597 ) / 3

LCM(213,597) = 127161 / 3

LCM(213,597) = 42387


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7125/213, 5719/597

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 7125/213, 5719/597?

Answer: GCF of Numerators as per given numbers 7125/213, 5719/597 is

GCF of Numerators i.e. for 7125,5719 is 19

LCM of denominators i.e. for 213,597 is 42387.

Thus, GCF of Fractions is 19/42387.Finally, GCF of Fractions for 7125/213, 5719/597 is 19/42387.