Greatest Common Factor of 5700/29, 2342/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5700/29, 2342/428

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 5700/29,2342/428

Given fractions are 5700/29,2342/428

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 5700,2342

Greatest Common Factor of Numerators i.e. GCF of 5700,2342 is 2 .

LCM of Denominators means LCM of 29,428 as per the given fractions.

LCM of 29,428 is 12412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5700,2342

GCF of Fractions 5700/29,2342/428 is 2/12412

2 5700, 2342
2850, 1171

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

Greatest Common Factor of 5700,2342 By Matching Biggest Common Factor Method

Greatest Common Factor of 5700,2342 By Matching Biggest Common Factor Method

Factors of 5700

List of positive integer factors of 5700 that divides 5700 without a remainder.

1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1,2,1171,2342

Greatest Common Factor

We found the factors 5700,2342 . The biggest common factor number is the GCF number.
So the greatest common factor 5700,2342 is 2.

Lets's calculate LCM of 29,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 12412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12412

Therefore, the GCF of Fractions 5700/29,2342/428 is 2/12412

Least Common Multiple of 29,428 with GCF Formula

Least Common Multiple of 29,428 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 29,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,428) = 1

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

GCF(29,428) x common factors =1 x 1 = 1

LCM(29,428) = ( 29 × 428 ) / 1

LCM(29,428) = 12412 / 1

LCM(29,428) = 12412


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 5700/29, 2342/428

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 5700/29, 2342/428?

Answer: GCF of Numerators as per given numbers 5700/29, 2342/428 is

GCF of Numerators i.e. for 5700,2342 is 2

LCM of denominators i.e. for 29,428 is 12412.

Thus, GCF of Fractions is 2/12412.Finally, GCF of Fractions for 5700/29, 2342/428 is 2/12412.