Greatest Common Factor of 933/556, 8709/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/556, 8709/978

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 933/556,8709/978

Given fractions are 933/556,8709/978

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 933,8709

Greatest Common Factor of Numerators i.e. GCF of 933,8709 is 3 .

LCM of Denominators means LCM of 556,978 as per the given fractions.

LCM of 556,978 is 271884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,8709

GCF of Fractions 933/556,8709/978 is 3/271884

3 933, 8709
311, 2903

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 933,8709 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,8709 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1,3,2903,8709

Greatest Common Factor

We found the factors 933,8709 . The biggest common factor number is the GCF number.
So the greatest common factor 933,8709 is 3.

Lets's calculate LCM of 556,978

2 556, 978
278, 489

∴ So the LCM of the given numbers is 2 x 278 x 489 = 271884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/271884

Therefore, the GCF of Fractions 933/556,8709/978 is 3/271884

Least Common Multiple of 556,978 with GCF Formula

Least Common Multiple of 556,978 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 556,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,978) = 2

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

GCF(556,978) x common factors =2 x 1 = 2

LCM(556,978) = ( 556 × 978 ) / 2

LCM(556,978) = 543768 / 2

LCM(556,978) = 271884


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 933/556, 8709/978

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 933/556, 8709/978?

Answer: GCF of Numerators as per given numbers 933/556, 8709/978 is

GCF of Numerators i.e. for 933,8709 is 3

LCM of denominators i.e. for 556,978 is 271884.

Thus, GCF of Fractions is 3/271884.Finally, GCF of Fractions for 933/556, 8709/978 is 3/271884.