Greatest Common Factor of 464/456, 2356/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 464/456, 2356/333

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 464/456,2356/333

Given fractions are 464/456,2356/333

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 464,2356

Greatest Common Factor of Numerators i.e. GCF of 464,2356 is 4 .

LCM of Denominators means LCM of 456,333 as per the given fractions.

LCM of 456,333 is 50616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,2356

GCF of Fractions 464/456,2356/333 is 4/50616

2 464, 2356
2 232, 1178
116, 589

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

Greatest Common Factor of 464,2356 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,2356 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 2356

List of positive integer factors of 2356 that divides 2356 without a remainder.

1,2,4,19,31,38,62,76,124,589,1178,2356

Greatest Common Factor

We found the factors 464,2356 . The biggest common factor number is the GCF number.
So the greatest common factor 464,2356 is 4.

Lets's calculate LCM of 456,333

3 456, 333
152, 111

∴ So the LCM of the given numbers is 3 x 152 x 111 = 50616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50616

Therefore, the GCF of Fractions 464/456,2356/333 is 4/50616

Least Common Multiple of 456,333 with GCF Formula

Least Common Multiple of 456,333 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 456,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,333) = 3

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

GCF(456,333) x common factors =3 x 1 = 3

LCM(456,333) = ( 456 × 333 ) / 3

LCM(456,333) = 151848 / 3

LCM(456,333) = 50616


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 464/456, 2356/333

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 464/456, 2356/333?

Answer: GCF of Numerators as per given numbers 464/456, 2356/333 is

GCF of Numerators i.e. for 464,2356 is 4

LCM of denominators i.e. for 456,333 is 50616.

Thus, GCF of Fractions is 4/50616.Finally, GCF of Fractions for 464/456, 2356/333 is 4/50616.