Greatest Common Factor of 60/33, 341/38, 430/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/33, 341/38, 430/200

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 60/33,341/38,430/200

Given fractions are 60/33,341/38,430/200

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 60,341,430

Greatest Common Factor of Numerators i.e. GCF of 60,341,430 is 1 .

LCM of Denominators means LCM of 33,38,200 as per the given fractions.

LCM of 33,38,200 is 125400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,341,430

GCF of Fractions 60/33,341/38,430/200 is 1/125400

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

Greatest Common Factor of 60,341,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,341,430 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 60,341,430 . The biggest common factor number is the GCF number.
So the greatest common factor 60,341,430 is 1.

Lets's calculate LCM of 33,38,200

2 33, 38, 200
33, 19, 100

∴ So the LCM of the given numbers is 2 x 33 x 19 x 100 = 125400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125400

Therefore, the GCF of Fractions 60/33,341/38,430/200 is 1/125400

Least Common Multiple of 33,38,200 with GCF Formula

Least Common Multiple of 33,38,200 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 33,38,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,38,200) = 1

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

GCF(33,38,200) x common factors =1 x 2 = 2

LCM(33,38,200) = ( 33 × 38 × 200 ) / 2

LCM(33,38,200) = 250800 / 2

LCM(33,38,200) = 125400


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 60/33, 341/38, 430/200

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 60/33, 341/38, 430/200?

Answer: GCF of Numerators as per given numbers 60/33, 341/38, 430/200 is

GCF of Numerators i.e. for 60,341,430 is 1

LCM of denominators i.e. for 33,38,200 is 125400.

Thus, GCF of Fractions is 1/125400.Finally, GCF of Fractions for 60/33, 341/38, 430/200 is 1/125400.