Greatest Common Factor of 827/75, 138/69, 485/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/75, 138/69, 485/40

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 827/75,138/69,485/40

Given fractions are 827/75,138/69,485/40

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 827,138,485

Greatest Common Factor of Numerators i.e. GCF of 827,138,485 is 1 .

LCM of Denominators means LCM of 75,69,40 as per the given fractions.

LCM of 75,69,40 is 13800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,138,485

GCF of Fractions 827/75,138/69,485/40 is 1/13800

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

Greatest Common Factor of 827,138,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,138,485 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 827,138,485 . The biggest common factor number is the GCF number.
So the greatest common factor 827,138,485 is 1.

Lets's calculate LCM of 75,69,40

3 75, 69, 40
5 25, 23, 40
5, 23, 8

∴ So the LCM of the given numbers is 3 x 5 x 5 x 23 x 8 = 13800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13800

Therefore, the GCF of Fractions 827/75,138/69,485/40 is 1/13800

Least Common Multiple of 75,69,40 with GCF Formula

Least Common Multiple of 75,69,40 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 75,69,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,69,40) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,69,40) x common factors =1 x 15 = 15

LCM(75,69,40) = ( 75 × 69 × 40 ) / 15

LCM(75,69,40) = 207000 / 15

LCM(75,69,40) = 13800


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 827/75, 138/69, 485/40

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 827/75, 138/69, 485/40?

Answer: GCF of Numerators as per given numbers 827/75, 138/69, 485/40 is

GCF of Numerators i.e. for 827,138,485 is 1

LCM of denominators i.e. for 75,69,40 is 13800.

Thus, GCF of Fractions is 1/13800.Finally, GCF of Fractions for 827/75, 138/69, 485/40 is 1/13800.