Greatest Common Factor of 9688/599, 3114/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9688/599, 3114/741

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 9688/599,3114/741

Given fractions are 9688/599,3114/741

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 9688,3114

Greatest Common Factor of Numerators i.e. GCF of 9688,3114 is 346 .

LCM of Denominators means LCM of 599,741 as per the given fractions.

LCM of 599,741 is 443859 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9688,3114

GCF of Fractions 9688/599,3114/741 is 346/443859

2 9688, 3114
173 4844, 1557
28, 9

∴ So the GCF of the given numbers is 2 x 173 = 346

Greatest Common Factor of 9688,3114 By Matching Biggest Common Factor Method

Greatest Common Factor of 9688,3114 By Matching Biggest Common Factor Method

Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Greatest Common Factor

We found the factors 9688,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 9688,3114 is 346.

Lets's calculate LCM of 599,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 443859

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 346/443859

Therefore, the GCF of Fractions 9688/599,3114/741 is 346/443859

Least Common Multiple of 599,741 with GCF Formula

Least Common Multiple of 599,741 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 599,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,741) = 1

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

GCF(599,741) x common factors =1 x 1 = 1

LCM(599,741) = ( 599 × 741 ) / 1

LCM(599,741) = 443859 / 1

LCM(599,741) = 443859


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 9688/599, 3114/741

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 9688/599, 3114/741?

Answer: GCF of Numerators as per given numbers 9688/599, 3114/741 is

GCF of Numerators i.e. for 9688,3114 is 346

LCM of denominators i.e. for 599,741 is 443859.

Thus, GCF of Fractions is 346/443859.Finally, GCF of Fractions for 9688/599, 3114/741 is 346/443859.