Greatest Common Factor of 29/387, 750/590, 427/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/387, 750/590, 427/519

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 29/387,750/590,427/519

Given fractions are 29/387,750/590,427/519

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 29,750,427

Greatest Common Factor of Numerators i.e. GCF of 29,750,427 is 1 .

LCM of Denominators means LCM of 387,590,519 as per the given fractions.

LCM of 387,590,519 is 39501090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,750,427

GCF of Fractions 29/387,750/590,427/519 is 1/39501090

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

Greatest Common Factor of 29,750,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,750,427 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 29,750,427 . The biggest common factor number is the GCF number.
So the greatest common factor 29,750,427 is 1.

Lets's calculate LCM of 387,590,519

3 387, 590, 519
129, 590, 173

∴ So the LCM of the given numbers is 3 x 129 x 590 x 173 = 39501090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39501090

Therefore, the GCF of Fractions 29/387,750/590,427/519 is 1/39501090

Least Common Multiple of 387,590,519 with GCF Formula

Least Common Multiple of 387,590,519 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 387,590,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,590,519) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(387,590,519) x common factors =1 x 3 = 3

LCM(387,590,519) = ( 387 × 590 × 519 ) / 3

LCM(387,590,519) = 118503270 / 3

LCM(387,590,519) = 39501090


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 29/387, 750/590, 427/519

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 29/387, 750/590, 427/519?

Answer: GCF of Numerators as per given numbers 29/387, 750/590, 427/519 is

GCF of Numerators i.e. for 29,750,427 is 1

LCM of denominators i.e. for 387,590,519 is 39501090.

Thus, GCF of Fractions is 1/39501090.Finally, GCF of Fractions for 29/387, 750/590, 427/519 is 1/39501090.