Greatest Common Factor of 512/745, 464/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/745, 464/572

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 512/745,464/572

Given fractions are 512/745,464/572

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 512,464

Greatest Common Factor of Numerators i.e. GCF of 512,464 is 16 .

LCM of Denominators means LCM of 745,572 as per the given fractions.

LCM of 745,572 is 426140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,464

GCF of Fractions 512/745,464/572 is 16/426140

2 512, 464
2 256, 232
2 128, 116
2 64, 58
32, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 512,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,464 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

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

Greatest Common Factor

We found the factors 512,464 . The biggest common factor number is the GCF number.
So the greatest common factor 512,464 is 16.

Lets's calculate LCM of 745,572

Given numbers has no common factors except 1. So, there LCM is their product i.e 426140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/426140

Therefore, the GCF of Fractions 512/745,464/572 is 16/426140

Least Common Multiple of 745,572 with GCF Formula

Least Common Multiple of 745,572 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 745,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,572) = 1

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

GCF(745,572) x common factors =1 x 1 = 1

LCM(745,572) = ( 745 × 572 ) / 1

LCM(745,572) = 426140 / 1

LCM(745,572) = 426140


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 512/745, 464/572

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 512/745, 464/572?

Answer: GCF of Numerators as per given numbers 512/745, 464/572 is

GCF of Numerators i.e. for 512,464 is 16

LCM of denominators i.e. for 745,572 is 426140.

Thus, GCF of Fractions is 16/426140.Finally, GCF of Fractions for 512/745, 464/572 is 16/426140.