Greatest Common Factor of 5112/192, 4601/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5112/192, 4601/128

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 5112/192,4601/128

Given fractions are 5112/192,4601/128

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 5112,4601

Greatest Common Factor of Numerators i.e. GCF of 5112,4601 is 1 .

LCM of Denominators means LCM of 192,128 as per the given fractions.

LCM of 192,128 is 384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5112,4601

GCF of Fractions 5112/192,4601/128 is 1/384

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5112,4601 By Matching Biggest Common Factor Method

Greatest Common Factor of 5112,4601 By Matching Biggest Common Factor Method

Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112

Factors of 4601

List of positive integer factors of 4601 that divides 4601 without a remainder.

1,43,107,4601

Greatest Common Factor

We found the factors 5112,4601 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,4601 is 1.

Lets's calculate LCM of 192,128

2 192, 128
2 96, 64
2 48, 32
2 24, 16
2 12, 8
2 6, 4
3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2 = 384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384

Therefore, the GCF of Fractions 5112/192,4601/128 is 1/384

Least Common Multiple of 192,128 with GCF Formula

Least Common Multiple of 192,128 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 192,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,128) = 64

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

GCF(192,128) x common factors =64 x 1 = 64

LCM(192,128) = ( 192 × 128 ) / 64

LCM(192,128) = 24576 / 64

LCM(192,128) = 384


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 5112/192, 4601/128

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 5112/192, 4601/128?

Answer: GCF of Numerators as per given numbers 5112/192, 4601/128 is

GCF of Numerators i.e. for 5112,4601 is 1

LCM of denominators i.e. for 192,128 is 384.

Thus, GCF of Fractions is 1/384.Finally, GCF of Fractions for 5112/192, 4601/128 is 1/384.