Greatest Common Factor of 4576/86, 5456/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4576/86, 5456/230

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 4576/86,5456/230

Given fractions are 4576/86,5456/230

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 4576,5456

Greatest Common Factor of Numerators i.e. GCF of 4576,5456 is 176 .

LCM of Denominators means LCM of 86,230 as per the given fractions.

LCM of 86,230 is 9890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4576,5456

GCF of Fractions 4576/86,5456/230 is 176/9890

2 4576, 5456
2 2288, 2728
2 1144, 1364
2 572, 682
11 286, 341
26, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176

Greatest Common Factor of 4576,5456 By Matching Biggest Common Factor Method

Greatest Common Factor of 4576,5456 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 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Greatest Common Factor

We found the factors 4576,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 4576,5456 is 176.

Lets's calculate LCM of 86,230

2 86, 230
43, 115

∴ So the LCM of the given numbers is 2 x 43 x 115 = 9890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 176/9890

Therefore, the GCF of Fractions 4576/86,5456/230 is 176/9890

Least Common Multiple of 86,230 with GCF Formula

Least Common Multiple of 86,230 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 86,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,230) = 2

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

GCF(86,230) x common factors =2 x 1 = 2

LCM(86,230) = ( 86 × 230 ) / 2

LCM(86,230) = 19780 / 2

LCM(86,230) = 9890


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 4576/86, 5456/230

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 4576/86, 5456/230?

Answer: GCF of Numerators as per given numbers 4576/86, 5456/230 is

GCF of Numerators i.e. for 4576,5456 is 176

LCM of denominators i.e. for 86,230 is 9890.

Thus, GCF of Fractions is 176/9890.Finally, GCF of Fractions for 4576/86, 5456/230 is 176/9890.