Greatest Common Factor of 69/111, 1320/5266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/111, 1320/5266

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 69/111,1320/5266

Given fractions are 69/111,1320/5266

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 69,1320

Greatest Common Factor of Numerators i.e. GCF of 69,1320 is 3 .

LCM of Denominators means LCM of 111,5266 as per the given fractions.

LCM of 111,5266 is 584526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,1320

GCF of Fractions 69/111,1320/5266 is 3/584526

3 69, 1320
23, 440

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,1320 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,1320 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors 69,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 69,1320 is 3.

Lets's calculate LCM of 111,5266

Given numbers has no common factors except 1. So, there LCM is their product i.e 584526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/584526

Therefore, the GCF of Fractions 69/111,1320/5266 is 3/584526

Least Common Multiple of 111,5266 with GCF Formula

Least Common Multiple of 111,5266 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 111,5266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,5266) = 1

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

GCF(111,5266) x common factors =1 x 1 = 1

LCM(111,5266) = ( 111 × 5266 ) / 1

LCM(111,5266) = 584526 / 1

LCM(111,5266) = 584526


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 69/111, 1320/5266

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 69/111, 1320/5266?

Answer: GCF of Numerators as per given numbers 69/111, 1320/5266 is

GCF of Numerators i.e. for 69,1320 is 3

LCM of denominators i.e. for 111,5266 is 584526.

Thus, GCF of Fractions is 3/584526.Finally, GCF of Fractions for 69/111, 1320/5266 is 3/584526.