Greatest Common Factor of 1316/332, 2682/9231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1316/332, 2682/9231

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 1316/332,2682/9231

Given fractions are 1316/332,2682/9231

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 1316,2682

Greatest Common Factor of Numerators i.e. GCF of 1316,2682 is 2 .

LCM of Denominators means LCM of 332,9231 as per the given fractions.

LCM of 332,9231 is 3064692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1316,2682

GCF of Fractions 1316/332,2682/9231 is 2/3064692

2 1316, 2682
658, 1341

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

Greatest Common Factor of 1316,2682 By Matching Biggest Common Factor Method

Greatest Common Factor of 1316,2682 By Matching Biggest Common Factor Method

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1,2,4,7,14,28,47,94,188,329,658,1316

Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1,2,3,6,9,18,149,298,447,894,1341,2682

Greatest Common Factor

We found the factors 1316,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,2682 is 2.

Lets's calculate LCM of 332,9231

Given numbers has no common factors except 1. So, there LCM is their product i.e 3064692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3064692

Therefore, the GCF of Fractions 1316/332,2682/9231 is 2/3064692

Least Common Multiple of 332,9231 with GCF Formula

Least Common Multiple of 332,9231 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 332,9231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,9231) = 1

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

GCF(332,9231) x common factors =1 x 1 = 1

LCM(332,9231) = ( 332 × 9231 ) / 1

LCM(332,9231) = 3064692 / 1

LCM(332,9231) = 3064692


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 1316/332, 2682/9231

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 1316/332, 2682/9231?

Answer: GCF of Numerators as per given numbers 1316/332, 2682/9231 is

GCF of Numerators i.e. for 1316,2682 is 2

LCM of denominators i.e. for 332,9231 is 3064692.

Thus, GCF of Fractions is 2/3064692.Finally, GCF of Fractions for 1316/332, 2682/9231 is 2/3064692.