Greatest Common Factor of 318/53, 830/86, 602/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/53, 830/86, 602/32

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 318/53,830/86,602/32

Given fractions are 318/53,830/86,602/32

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 318,830,602

Greatest Common Factor of Numerators i.e. GCF of 318,830,602 is 2 .

LCM of Denominators means LCM of 53,86,32 as per the given fractions.

LCM of 53,86,32 is 72928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,830,602

GCF of Fractions 318/53,830/86,602/32 is 2/72928

2 318, 830, 602
159, 415, 301

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

Greatest Common Factor of 318,830,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,830,602 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 318,830,602 . The biggest common factor number is the GCF number.
So the greatest common factor 318,830,602 is 2.

Lets's calculate LCM of 53,86,32

2 53, 86, 32
53, 43, 16

∴ So the LCM of the given numbers is 2 x 53 x 43 x 16 = 72928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72928

Therefore, the GCF of Fractions 318/53,830/86,602/32 is 2/72928

Least Common Multiple of 53,86,32 with GCF Formula

Least Common Multiple of 53,86,32 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 53,86,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,86,32) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,86,32) x common factors =1 x 2 = 2

LCM(53,86,32) = ( 53 × 86 × 32 ) / 2

LCM(53,86,32) = 145856 / 2

LCM(53,86,32) = 72928


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 318/53, 830/86, 602/32

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 318/53, 830/86, 602/32?

Answer: GCF of Numerators as per given numbers 318/53, 830/86, 602/32 is

GCF of Numerators i.e. for 318,830,602 is 2

LCM of denominators i.e. for 53,86,32 is 72928.

Thus, GCF of Fractions is 2/72928.Finally, GCF of Fractions for 318/53, 830/86, 602/32 is 2/72928.