Greatest Common Factor of 588/29, 309/45, 977/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 588/29, 309/45, 977/750

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 588/29,309/45,977/750

Given fractions are 588/29,309/45,977/750

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 588,309,977

Greatest Common Factor of Numerators i.e. GCF of 588,309,977 is 1 .

LCM of Denominators means LCM of 29,45,750 as per the given fractions.

LCM of 29,45,750 is 65250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 588,309,977

GCF of Fractions 588/29,309/45,977/750 is 1/65250

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

Greatest Common Factor of 588,309,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,309,977 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 588,309,977 . The biggest common factor number is the GCF number.
So the greatest common factor 588,309,977 is 1.

Lets's calculate LCM of 29,45,750

3 29, 45, 750
5 29, 15, 250
29, 3, 50

∴ So the LCM of the given numbers is 3 x 5 x 29 x 3 x 50 = 65250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65250

Therefore, the GCF of Fractions 588/29,309/45,977/750 is 1/65250

Least Common Multiple of 29,45,750 with GCF Formula

Least Common Multiple of 29,45,750 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 29,45,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,45,750) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(29,45,750) x common factors =1 x 15 = 15

LCM(29,45,750) = ( 29 × 45 × 750 ) / 15

LCM(29,45,750) = 978750 / 15

LCM(29,45,750) = 65250


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 588/29, 309/45, 977/750

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 588/29, 309/45, 977/750?

Answer: GCF of Numerators as per given numbers 588/29, 309/45, 977/750 is

GCF of Numerators i.e. for 588,309,977 is 1

LCM of denominators i.e. for 29,45,750 is 65250.

Thus, GCF of Fractions is 1/65250.Finally, GCF of Fractions for 588/29, 309/45, 977/750 is 1/65250.