Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/338,733/450,684/744
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 168,733,684
Greatest Common Factor of Numerators i.e. GCF of 168,733,684 is 1 .
LCM of Denominators means LCM of 338,450,744 as per the given fractions.
LCM of 338,450,744 is 9430200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 168,733,684
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 168,733,684 . The biggest common factor number is the GCF number.
So the greatest common factor 168,733,684 is 1.
Lets's calculate LCM of 338,450,744
2 | 338, 450, 744 |
3 | 169, 225, 372 |
169, 75, 124 |
∴ So the LCM of the given numbers is 2 x 3 x 169 x 75 x 124 = 9430200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9430200
Therefore, the GCF of Fractions 168/338,733/450,684/744 is 1/9430200
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 338,450,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,450,744) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(338,450,744) x common factors =2 x 6 = 12
LCM(338,450,744) = ( 338 × 450 × 744 ) / 12
LCM(338,450,744) = 113162400 / 12
LCM(338,450,744) = 9430200
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 168/338, 733/450, 684/744?
Answer: GCF of Numerators as per given numbers 168/338, 733/450, 684/744 is
GCF of Numerators i.e. for 168,733,684 is 1
LCM of denominators i.e. for 338,450,744 is 9430200.
Thus, GCF of Fractions is 1/9430200.Finally, GCF of Fractions for 168/338, 733/450, 684/744 is 1/9430200.