Greatest Common Factor of 335/84, 488/37, 302/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/84, 488/37, 302/60

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 335/84,488/37,302/60

Given fractions are 335/84,488/37,302/60

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 335,488,302

Greatest Common Factor of Numerators i.e. GCF of 335,488,302 is 1 .

LCM of Denominators means LCM of 84,37,60 as per the given fractions.

LCM of 84,37,60 is 15540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,488,302

GCF of Fractions 335/84,488/37,302/60 is 1/15540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 335,488,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,488,302 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 335,488,302 . The biggest common factor number is the GCF number.
So the greatest common factor 335,488,302 is 1.

Lets's calculate LCM of 84,37,60

2 84, 37, 60
2 42, 37, 30
3 21, 37, 15
7, 37, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 37 x 5 = 15540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15540

Therefore, the GCF of Fractions 335/84,488/37,302/60 is 1/15540

Least Common Multiple of 84,37,60 with GCF Formula

Least Common Multiple of 84,37,60 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 84,37,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,37,60) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,37,60) x common factors =1 x 12 = 12

LCM(84,37,60) = ( 84 × 37 × 60 ) / 12

LCM(84,37,60) = 186480 / 12

LCM(84,37,60) = 15540


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 335/84, 488/37, 302/60

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 335/84, 488/37, 302/60?

Answer: GCF of Numerators as per given numbers 335/84, 488/37, 302/60 is

GCF of Numerators i.e. for 335,488,302 is 1

LCM of denominators i.e. for 84,37,60 is 15540.

Thus, GCF of Fractions is 1/15540.Finally, GCF of Fractions for 335/84, 488/37, 302/60 is 1/15540.