Greatest Common Factor of 5872/929, 1150/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5872/929, 1150/226

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 5872/929,1150/226

Given fractions are 5872/929,1150/226

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 5872,1150

Greatest Common Factor of Numerators i.e. GCF of 5872,1150 is 2 .

LCM of Denominators means LCM of 929,226 as per the given fractions.

LCM of 929,226 is 209954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5872,1150

GCF of Fractions 5872/929,1150/226 is 2/209954

2 5872, 1150
2936, 575

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

Greatest Common Factor of 5872,1150 By Matching Biggest Common Factor Method

Greatest Common Factor of 5872,1150 By Matching Biggest Common Factor Method

Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1,2,4,8,16,367,734,1468,2936,5872

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1,2,5,10,23,25,46,50,115,230,575,1150

Greatest Common Factor

We found the factors 5872,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,1150 is 2.

Lets's calculate LCM of 929,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 209954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/209954

Therefore, the GCF of Fractions 5872/929,1150/226 is 2/209954

Least Common Multiple of 929,226 with GCF Formula

Least Common Multiple of 929,226 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 929,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,226) = 1

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

GCF(929,226) x common factors =1 x 1 = 1

LCM(929,226) = ( 929 × 226 ) / 1

LCM(929,226) = 209954 / 1

LCM(929,226) = 209954


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 5872/929, 1150/226

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 5872/929, 1150/226?

Answer: GCF of Numerators as per given numbers 5872/929, 1150/226 is

GCF of Numerators i.e. for 5872,1150 is 2

LCM of denominators i.e. for 929,226 is 209954.

Thus, GCF of Fractions is 2/209954.Finally, GCF of Fractions for 5872/929, 1150/226 is 2/209954.