Greatest Common Factor of 7134/69, 5194/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7134/69, 5194/525

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 7134/69,5194/525

Given fractions are 7134/69,5194/525

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 7134,5194

Greatest Common Factor of Numerators i.e. GCF of 7134,5194 is 2 .

LCM of Denominators means LCM of 69,525 as per the given fractions.

LCM of 69,525 is 12075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7134,5194

GCF of Fractions 7134/69,5194/525 is 2/12075

2 7134, 5194
3567, 2597

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7134,5194 By Matching Biggest Common Factor Method

Greatest Common Factor of 7134,5194 By Matching Biggest Common Factor Method

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Factors of 5194

List of positive integer factors of 5194 that divides 5194 without a remainder.

1,2,7,14,49,53,98,106,371,742,2597,5194

Greatest Common Factor

We found the factors 7134,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 7134,5194 is 2.

Lets's calculate LCM of 69,525

3 69, 525
23, 175

∴ So the LCM of the given numbers is 3 x 23 x 175 = 12075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12075

Therefore, the GCF of Fractions 7134/69,5194/525 is 2/12075

Least Common Multiple of 69,525 with GCF Formula

Least Common Multiple of 69,525 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 69,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,525) = 3

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

GCF(69,525) x common factors =3 x 1 = 3

LCM(69,525) = ( 69 × 525 ) / 3

LCM(69,525) = 36225 / 3

LCM(69,525) = 12075


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 7134/69, 5194/525

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 7134/69, 5194/525?

Answer: GCF of Numerators as per given numbers 7134/69, 5194/525 is

GCF of Numerators i.e. for 7134,5194 is 2

LCM of denominators i.e. for 69,525 is 12075.

Thus, GCF of Fractions is 2/12075.Finally, GCF of Fractions for 7134/69, 5194/525 is 2/12075.