Greatest Common Factor of 1275/30, 8123/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1275/30, 8123/979

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 1275/30,8123/979

Given fractions are 1275/30,8123/979

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 1275,8123

Greatest Common Factor of Numerators i.e. GCF of 1275,8123 is 1 .

LCM of Denominators means LCM of 30,979 as per the given fractions.

LCM of 30,979 is 29370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1275,8123

GCF of Fractions 1275/30,8123/979 is 1/29370

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

Greatest Common Factor of 1275,8123 By Matching Biggest Common Factor Method

Greatest Common Factor of 1275,8123 By Matching Biggest Common Factor Method

Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1,3,5,15,17,25,51,75,85,255,425,1275

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Greatest Common Factor

We found the factors 1275,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,8123 is 1.

Lets's calculate LCM of 30,979

Given numbers has no common factors except 1. So, there LCM is their product i.e 29370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29370

Therefore, the GCF of Fractions 1275/30,8123/979 is 1/29370

Least Common Multiple of 30,979 with GCF Formula

Least Common Multiple of 30,979 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 30,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,979) = 1

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

GCF(30,979) x common factors =1 x 1 = 1

LCM(30,979) = ( 30 × 979 ) / 1

LCM(30,979) = 29370 / 1

LCM(30,979) = 29370


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 1275/30, 8123/979

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 1275/30, 8123/979?

Answer: GCF of Numerators as per given numbers 1275/30, 8123/979 is

GCF of Numerators i.e. for 1275,8123 is 1

LCM of denominators i.e. for 30,979 is 29370.

Thus, GCF of Fractions is 1/29370.Finally, GCF of Fractions for 1275/30, 8123/979 is 1/29370.