Greatest Common Factor of 320/60, 562/2284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/60, 562/2284

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 320/60,562/2284

Given fractions are 320/60,562/2284

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 320,562

Greatest Common Factor of Numerators i.e. GCF of 320,562 is 2 .

LCM of Denominators means LCM of 60,2284 as per the given fractions.

LCM of 60,2284 is 34260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,562

GCF of Fractions 320/60,562/2284 is 2/34260

2 320, 562
160, 281

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

Greatest Common Factor of 320,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,562 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 320,562 . The biggest common factor number is the GCF number.
So the greatest common factor 320,562 is 2.

Lets's calculate LCM of 60,2284

2 60, 2284
2 30, 1142
15, 571

∴ So the LCM of the given numbers is 2 x 2 x 15 x 571 = 34260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34260

Therefore, the GCF of Fractions 320/60,562/2284 is 2/34260

Least Common Multiple of 60,2284 with GCF Formula

Least Common Multiple of 60,2284 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 60,2284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,2284) = 4

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

GCF(60,2284) x common factors =4 x 1 = 4

LCM(60,2284) = ( 60 × 2284 ) / 4

LCM(60,2284) = 137040 / 4

LCM(60,2284) = 34260


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 320/60, 562/2284

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 320/60, 562/2284?

Answer: GCF of Numerators as per given numbers 320/60, 562/2284 is

GCF of Numerators i.e. for 320,562 is 2

LCM of denominators i.e. for 60,2284 is 34260.

Thus, GCF of Fractions is 2/34260.Finally, GCF of Fractions for 320/60, 562/2284 is 2/34260.