Greatest Common Factor of 3248/429, 2268/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3248/429, 2268/978

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 3248/429,2268/978

Given fractions are 3248/429,2268/978

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 3248,2268

Greatest Common Factor of Numerators i.e. GCF of 3248,2268 is 28 .

LCM of Denominators means LCM of 429,978 as per the given fractions.

LCM of 429,978 is 139854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3248,2268

GCF of Fractions 3248/429,2268/978 is 28/139854

2 3248, 2268
2 1624, 1134
7 812, 567
116, 81

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 3248,2268 By Matching Biggest Common Factor Method

Greatest Common Factor of 3248,2268 By Matching Biggest Common Factor Method

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Factors of 2268

List of positive integer factors of 2268 that divides 2268 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268

Greatest Common Factor

We found the factors 3248,2268 . The biggest common factor number is the GCF number.
So the greatest common factor 3248,2268 is 28.

Lets's calculate LCM of 429,978

3 429, 978
143, 326

∴ So the LCM of the given numbers is 3 x 143 x 326 = 139854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/139854

Therefore, the GCF of Fractions 3248/429,2268/978 is 28/139854

Least Common Multiple of 429,978 with GCF Formula

Least Common Multiple of 429,978 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 429,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,978) = 3

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

GCF(429,978) x common factors =3 x 1 = 3

LCM(429,978) = ( 429 × 978 ) / 3

LCM(429,978) = 419562 / 3

LCM(429,978) = 139854


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 3248/429, 2268/978

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 3248/429, 2268/978?

Answer: GCF of Numerators as per given numbers 3248/429, 2268/978 is

GCF of Numerators i.e. for 3248,2268 is 28

LCM of denominators i.e. for 429,978 is 139854.

Thus, GCF of Fractions is 28/139854.Finally, GCF of Fractions for 3248/429, 2268/978 is 28/139854.