Greatest Common Factor of 1218/222, 3258/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1218/222, 3258/765

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 1218/222,3258/765

Given fractions are 1218/222,3258/765

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 1218,3258

Greatest Common Factor of Numerators i.e. GCF of 1218,3258 is 6 .

LCM of Denominators means LCM of 222,765 as per the given fractions.

LCM of 222,765 is 56610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1218,3258

GCF of Fractions 1218/222,3258/765 is 6/56610

2 1218, 3258
3 609, 1629
203, 543

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1218,3258 By Matching Biggest Common Factor Method

Greatest Common Factor of 1218,3258 By Matching Biggest Common Factor Method

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1,2,3,6,9,18,181,362,543,1086,1629,3258

Greatest Common Factor

We found the factors 1218,3258 . The biggest common factor number is the GCF number.
So the greatest common factor 1218,3258 is 6.

Lets's calculate LCM of 222,765

3 222, 765
74, 255

∴ So the LCM of the given numbers is 3 x 74 x 255 = 56610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/56610

Therefore, the GCF of Fractions 1218/222,3258/765 is 6/56610

Least Common Multiple of 222,765 with GCF Formula

Least Common Multiple of 222,765 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 222,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,765) = 3

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

GCF(222,765) x common factors =3 x 1 = 3

LCM(222,765) = ( 222 × 765 ) / 3

LCM(222,765) = 169830 / 3

LCM(222,765) = 56610


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 1218/222, 3258/765

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 1218/222, 3258/765?

Answer: GCF of Numerators as per given numbers 1218/222, 3258/765 is

GCF of Numerators i.e. for 1218,3258 is 6

LCM of denominators i.e. for 222,765 is 56610.

Thus, GCF of Fractions is 6/56610.Finally, GCF of Fractions for 1218/222, 3258/765 is 6/56610.