Greatest Common Factor of 7260/308, 3392/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7260/308, 3392/267

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 7260/308,3392/267

Given fractions are 7260/308,3392/267

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 7260,3392

Greatest Common Factor of Numerators i.e. GCF of 7260,3392 is 4 .

LCM of Denominators means LCM of 308,267 as per the given fractions.

LCM of 308,267 is 82236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7260,3392

GCF of Fractions 7260/308,3392/267 is 4/82236

2 7260, 3392
2 3630, 1696
1815, 848

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7260,3392 By Matching Biggest Common Factor Method

Greatest Common Factor of 7260,3392 By Matching Biggest Common Factor Method

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Factors of 3392

List of positive integer factors of 3392 that divides 3392 without a remainder.

1,2,4,8,16,32,53,64,106,212,424,848,1696,3392

Greatest Common Factor

We found the factors 7260,3392 . The biggest common factor number is the GCF number.
So the greatest common factor 7260,3392 is 4.

Lets's calculate LCM of 308,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 82236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/82236

Therefore, the GCF of Fractions 7260/308,3392/267 is 4/82236

Least Common Multiple of 308,267 with GCF Formula

Least Common Multiple of 308,267 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 308,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,267) = 1

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

GCF(308,267) x common factors =1 x 1 = 1

LCM(308,267) = ( 308 × 267 ) / 1

LCM(308,267) = 82236 / 1

LCM(308,267) = 82236


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 7260/308, 3392/267

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 7260/308, 3392/267?

Answer: GCF of Numerators as per given numbers 7260/308, 3392/267 is

GCF of Numerators i.e. for 7260,3392 is 4

LCM of denominators i.e. for 308,267 is 82236.

Thus, GCF of Fractions is 4/82236.Finally, GCF of Fractions for 7260/308, 3392/267 is 4/82236.