Greatest Common Factor of 1592/480, 8134/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1592/480, 8134/192

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 1592/480,8134/192

Given fractions are 1592/480,8134/192

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 1592,8134

Greatest Common Factor of Numerators i.e. GCF of 1592,8134 is 2 .

LCM of Denominators means LCM of 480,192 as per the given fractions.

LCM of 480,192 is 960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1592,8134

GCF of Fractions 1592/480,8134/192 is 2/960

2 1592, 8134
796, 4067

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

Greatest Common Factor of 1592,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 1592,8134 By Matching Biggest Common Factor Method

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1,2,4,8,199,398,796,1592

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 1592,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 1592,8134 is 2.

Lets's calculate LCM of 480,192

2 480, 192
2 240, 96
2 120, 48
2 60, 24
2 30, 12
3 15, 6
5, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/960

Therefore, the GCF of Fractions 1592/480,8134/192 is 2/960

Least Common Multiple of 480,192 with GCF Formula

Least Common Multiple of 480,192 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 480,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,192) = 96

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

GCF(480,192) x common factors =96 x 1 = 96

LCM(480,192) = ( 480 × 192 ) / 96

LCM(480,192) = 92160 / 96

LCM(480,192) = 960


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 1592/480, 8134/192

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 1592/480, 8134/192?

Answer: GCF of Numerators as per given numbers 1592/480, 8134/192 is

GCF of Numerators i.e. for 1592,8134 is 2

LCM of denominators i.e. for 480,192 is 960.

Thus, GCF of Fractions is 2/960.Finally, GCF of Fractions for 1592/480, 8134/192 is 2/960.