Greatest Common Factor of 940/550, 239/652, 730/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/550, 239/652, 730/977

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 940/550,239/652,730/977

Given fractions are 940/550,239/652,730/977

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 940,239,730

Greatest Common Factor of Numerators i.e. GCF of 940,239,730 is 1 .

LCM of Denominators means LCM of 550,652,977 as per the given fractions.

LCM of 550,652,977 is 175176100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,239,730

GCF of Fractions 940/550,239/652,730/977 is 1/175176100

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

Greatest Common Factor of 940,239,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,239,730 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 940,239,730 . The biggest common factor number is the GCF number.
So the greatest common factor 940,239,730 is 1.

Lets's calculate LCM of 550,652,977

2 550, 652, 977
275, 326, 977

∴ So the LCM of the given numbers is 2 x 275 x 326 x 977 = 175176100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175176100

Therefore, the GCF of Fractions 940/550,239/652,730/977 is 1/175176100

Least Common Multiple of 550,652,977 with GCF Formula

Least Common Multiple of 550,652,977 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 550,652,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,652,977) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(550,652,977) x common factors =1 x 2 = 2

LCM(550,652,977) = ( 550 × 652 × 977 ) / 2

LCM(550,652,977) = 350352200 / 2

LCM(550,652,977) = 175176100


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 940/550, 239/652, 730/977

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 940/550, 239/652, 730/977?

Answer: GCF of Numerators as per given numbers 940/550, 239/652, 730/977 is

GCF of Numerators i.e. for 940,239,730 is 1

LCM of denominators i.e. for 550,652,977 is 175176100.

Thus, GCF of Fractions is 1/175176100.Finally, GCF of Fractions for 940/550, 239/652, 730/977 is 1/175176100.