Greatest Common Factor of 4576/604, 2944/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4576/604, 2944/696

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 4576/604,2944/696

Given fractions are 4576/604,2944/696

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 4576,2944

Greatest Common Factor of Numerators i.e. GCF of 4576,2944 is 32 .

LCM of Denominators means LCM of 604,696 as per the given fractions.

LCM of 604,696 is 105096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4576,2944

GCF of Fractions 4576/604,2944/696 is 32/105096

2 4576, 2944
2 2288, 1472
2 1144, 736
2 572, 368
2 286, 184
143, 92

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 4576,2944 By Matching Biggest Common Factor Method

Greatest Common Factor of 4576,2944 By Matching Biggest Common Factor Method

Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

Greatest Common Factor

We found the factors 4576,2944 . The biggest common factor number is the GCF number.
So the greatest common factor 4576,2944 is 32.

Lets's calculate LCM of 604,696

2 604, 696
2 302, 348
151, 174

∴ So the LCM of the given numbers is 2 x 2 x 151 x 174 = 105096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/105096

Therefore, the GCF of Fractions 4576/604,2944/696 is 32/105096

Least Common Multiple of 604,696 with GCF Formula

Least Common Multiple of 604,696 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 604,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,696) = 4

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

GCF(604,696) x common factors =4 x 1 = 4

LCM(604,696) = ( 604 × 696 ) / 4

LCM(604,696) = 420384 / 4

LCM(604,696) = 105096


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 4576/604, 2944/696

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 4576/604, 2944/696?

Answer: GCF of Numerators as per given numbers 4576/604, 2944/696 is

GCF of Numerators i.e. for 4576,2944 is 32

LCM of denominators i.e. for 604,696 is 105096.

Thus, GCF of Fractions is 32/105096.Finally, GCF of Fractions for 4576/604, 2944/696 is 32/105096.