Greatest Common Factor of 7150/485, 7476/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7150/485, 7476/982

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 7150/485,7476/982

Given fractions are 7150/485,7476/982

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 7150,7476

Greatest Common Factor of Numerators i.e. GCF of 7150,7476 is 2 .

LCM of Denominators means LCM of 485,982 as per the given fractions.

LCM of 485,982 is 476270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7150,7476

GCF of Fractions 7150/485,7476/982 is 2/476270

2 7150, 7476
3575, 3738

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

Greatest Common Factor of 7150,7476 By Matching Biggest Common Factor Method

Greatest Common Factor of 7150,7476 By Matching Biggest Common Factor Method

Factors of 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Greatest Common Factor

We found the factors 7150,7476 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,7476 is 2.

Lets's calculate LCM of 485,982

Given numbers has no common factors except 1. So, there LCM is their product i.e 476270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/476270

Therefore, the GCF of Fractions 7150/485,7476/982 is 2/476270

Least Common Multiple of 485,982 with GCF Formula

Least Common Multiple of 485,982 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 485,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,982) = 1

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

GCF(485,982) x common factors =1 x 1 = 1

LCM(485,982) = ( 485 × 982 ) / 1

LCM(485,982) = 476270 / 1

LCM(485,982) = 476270


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 7150/485, 7476/982

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 7150/485, 7476/982?

Answer: GCF of Numerators as per given numbers 7150/485, 7476/982 is

GCF of Numerators i.e. for 7150,7476 is 2

LCM of denominators i.e. for 485,982 is 476270.

Thus, GCF of Fractions is 2/476270.Finally, GCF of Fractions for 7150/485, 7476/982 is 2/476270.