Greatest Common Factor of 282/30, 458/64, 680/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/30, 458/64, 680/375

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 282/30,458/64,680/375

Given fractions are 282/30,458/64,680/375

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 282,458,680

Greatest Common Factor of Numerators i.e. GCF of 282,458,680 is 2 .

LCM of Denominators means LCM of 30,64,375 as per the given fractions.

LCM of 30,64,375 is 24000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,458,680

GCF of Fractions 282/30,458/64,680/375 is 2/24000

2 282, 458, 680
141, 229, 340

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

Greatest Common Factor of 282,458,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,458,680 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 282,458,680 . The biggest common factor number is the GCF number.
So the greatest common factor 282,458,680 is 2.

Lets's calculate LCM of 30,64,375

2 30, 64, 375
3 15, 32, 375
5 5, 32, 125
1, 32, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 32 x 25 = 24000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24000

Therefore, the GCF of Fractions 282/30,458/64,680/375 is 2/24000

Least Common Multiple of 30,64,375 with GCF Formula

Least Common Multiple of 30,64,375 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 30,64,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,64,375) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,64,375) x common factors =1 x 30 = 30

LCM(30,64,375) = ( 30 × 64 × 375 ) / 30

LCM(30,64,375) = 720000 / 30

LCM(30,64,375) = 24000


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 282/30, 458/64, 680/375

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 282/30, 458/64, 680/375?

Answer: GCF of Numerators as per given numbers 282/30, 458/64, 680/375 is

GCF of Numerators i.e. for 282,458,680 is 2

LCM of denominators i.e. for 30,64,375 is 24000.

Thus, GCF of Fractions is 2/24000.Finally, GCF of Fractions for 282/30, 458/64, 680/375 is 2/24000.