Greatest Common Factor of 825/612, 5140/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 825/612, 5140/134

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 825/612,5140/134

Given fractions are 825/612,5140/134

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 825,5140

Greatest Common Factor of Numerators i.e. GCF of 825,5140 is 5 .

LCM of Denominators means LCM of 612,134 as per the given fractions.

LCM of 612,134 is 41004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 825,5140

GCF of Fractions 825/612,5140/134 is 5/41004

5 825, 5140
165, 1028

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 825,5140 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,5140 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Greatest Common Factor

We found the factors 825,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 825,5140 is 5.

Lets's calculate LCM of 612,134

2 612, 134
306, 67

∴ So the LCM of the given numbers is 2 x 306 x 67 = 41004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/41004

Therefore, the GCF of Fractions 825/612,5140/134 is 5/41004

Least Common Multiple of 612,134 with GCF Formula

Least Common Multiple of 612,134 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 612,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,134) = 2

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

GCF(612,134) x common factors =2 x 1 = 2

LCM(612,134) = ( 612 × 134 ) / 2

LCM(612,134) = 82008 / 2

LCM(612,134) = 41004


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 825/612, 5140/134

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 825/612, 5140/134?

Answer: GCF of Numerators as per given numbers 825/612, 5140/134 is

GCF of Numerators i.e. for 825,5140 is 5

LCM of denominators i.e. for 612,134 is 41004.

Thus, GCF of Fractions is 5/41004.Finally, GCF of Fractions for 825/612, 5140/134 is 5/41004.