Greatest Common Factor of 1950/984, 8540/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1950/984, 8540/306

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 1950/984,8540/306

Given fractions are 1950/984,8540/306

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 1950,8540

Greatest Common Factor of Numerators i.e. GCF of 1950,8540 is 10 .

LCM of Denominators means LCM of 984,306 as per the given fractions.

LCM of 984,306 is 50184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1950,8540

GCF of Fractions 1950/984,8540/306 is 10/50184

2 1950, 8540
5 975, 4270
195, 854

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1950,8540 By Matching Biggest Common Factor Method

Greatest Common Factor of 1950,8540 By Matching Biggest Common Factor Method

Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540

Greatest Common Factor

We found the factors 1950,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,8540 is 10.

Lets's calculate LCM of 984,306

2 984, 306
3 492, 153
164, 51

∴ So the LCM of the given numbers is 2 x 3 x 164 x 51 = 50184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/50184

Therefore, the GCF of Fractions 1950/984,8540/306 is 10/50184

Least Common Multiple of 984,306 with GCF Formula

Least Common Multiple of 984,306 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 984,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,306) = 6

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

GCF(984,306) x common factors =6 x 1 = 6

LCM(984,306) = ( 984 × 306 ) / 6

LCM(984,306) = 301104 / 6

LCM(984,306) = 50184


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 1950/984, 8540/306

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 1950/984, 8540/306?

Answer: GCF of Numerators as per given numbers 1950/984, 8540/306 is

GCF of Numerators i.e. for 1950,8540 is 10

LCM of denominators i.e. for 984,306 is 50184.

Thus, GCF of Fractions is 10/50184.Finally, GCF of Fractions for 1950/984, 8540/306 is 10/50184.