Greatest Common Factor of 9588/664, 4729/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9588/664, 4729/140

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 9588/664,4729/140

Given fractions are 9588/664,4729/140

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 9588,4729

Greatest Common Factor of Numerators i.e. GCF of 9588,4729 is 1 .

LCM of Denominators means LCM of 664,140 as per the given fractions.

LCM of 664,140 is 23240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9588,4729

GCF of Fractions 9588/664,4729/140 is 1/23240

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

Greatest Common Factor of 9588,4729 By Matching Biggest Common Factor Method

Greatest Common Factor of 9588,4729 By Matching Biggest Common Factor Method

Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1,4729

Greatest Common Factor

We found the factors 9588,4729 . The biggest common factor number is the GCF number.
So the greatest common factor 9588,4729 is 1.

Lets's calculate LCM of 664,140

2 664, 140
2 332, 70
166, 35

∴ So the LCM of the given numbers is 2 x 2 x 166 x 35 = 23240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23240

Therefore, the GCF of Fractions 9588/664,4729/140 is 1/23240

Least Common Multiple of 664,140 with GCF Formula

Least Common Multiple of 664,140 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 664,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,140) = 4

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

GCF(664,140) x common factors =4 x 1 = 4

LCM(664,140) = ( 664 × 140 ) / 4

LCM(664,140) = 92960 / 4

LCM(664,140) = 23240


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 9588/664, 4729/140

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 9588/664, 4729/140?

Answer: GCF of Numerators as per given numbers 9588/664, 4729/140 is

GCF of Numerators i.e. for 9588,4729 is 1

LCM of denominators i.e. for 664,140 is 23240.

Thus, GCF of Fractions is 1/23240.Finally, GCF of Fractions for 9588/664, 4729/140 is 1/23240.