Greatest Common Factor of 12/56, 200/29, 739/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 12/56, 200/29, 739/887

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 12/56,200/29,739/887

Given fractions are 12/56,200/29,739/887

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 12,200,739

Greatest Common Factor of Numerators i.e. GCF of 12,200,739 is 1 .

LCM of Denominators means LCM of 56,29,887 as per the given fractions.

LCM of 56,29,887 is 1440488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,200,739

GCF of Fractions 12/56,200/29,739/887 is 1/1440488

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

Greatest Common Factor of 12,200,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,200,739 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 12,200,739 . The biggest common factor number is the GCF number.
So the greatest common factor 12,200,739 is 1.


Lets's calculate LCM of 56,29,887

Given numbers has no common factors except 1. So, there LCM is their product i.e 1440488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440488

Therefore, the GCF of Fractions 12/56,200/29,739/887 is 1/1440488

Least Common Multiple of 56,29,887 with GCF Formula

Least Common Multiple of 56,29,887 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 56,29,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,29,887) = 1

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

GCF(56,29,887) x common factors =1 x 1 = 1

LCM(56,29,887) = ( 56 × 29 × 887 ) / 1

LCM(56,29,887) = 1440488 / 1

LCM(56,29,887) = 1440488


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 12/56, 200/29, 739/887

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 12/56, 200/29, 739/887?

Answer: GCF of Numerators as per given numbers 12/56, 200/29, 739/887 is

GCF of Numerators i.e. for 12,200,739 is 1

LCM of denominators i.e. for 56,29,887 is 1440488.

Thus, GCF of Fractions is 1/1440488.Finally, GCF of Fractions for 12/56, 200/29, 739/887 is 1/1440488.