Greatest Common Factor of 592/315, 904/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/315, 904/514

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 592/315,904/514

Given fractions are 592/315,904/514

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 592,904

Greatest Common Factor of Numerators i.e. GCF of 592,904 is 8 .

LCM of Denominators means LCM of 315,514 as per the given fractions.

LCM of 315,514 is 161910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,904

GCF of Fractions 592/315,904/514 is 8/161910

2 592, 904
2 296, 452
2 148, 226
74, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 592,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,904 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 592,904 . The biggest common factor number is the GCF number.
So the greatest common factor 592,904 is 8.

Lets's calculate LCM of 315,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 161910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/161910

Therefore, the GCF of Fractions 592/315,904/514 is 8/161910

Least Common Multiple of 315,514 with GCF Formula

Least Common Multiple of 315,514 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 315,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,514) = 1

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

GCF(315,514) x common factors =1 x 1 = 1

LCM(315,514) = ( 315 × 514 ) / 1

LCM(315,514) = 161910 / 1

LCM(315,514) = 161910


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 592/315, 904/514

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 592/315, 904/514?

Answer: GCF of Numerators as per given numbers 592/315, 904/514 is

GCF of Numerators i.e. for 592,904 is 8

LCM of denominators i.e. for 315,514 is 161910.

Thus, GCF of Fractions is 8/161910.Finally, GCF of Fractions for 592/315, 904/514 is 8/161910.