Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/32,59/12,60/82,575/45
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 33,59,60,575
Greatest Common Factor of Numerators i.e. GCF of 33,59,60,575 is 1 .
LCM of Denominators means LCM of 32,12,82,45 as per the given fractions.
LCM of 32,12,82,45 is 59040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,59,60,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
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 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 33,59,60,575 . The biggest common factor number is the GCF number.
So the greatest common factor 33,59,60,575 is 1.
Lets's calculate LCM of 32,12,82,45
2 | 32, 12, 82, 45 |
2 | 16, 6, 41, 45 |
3 | 8, 3, 41, 45 |
8, 1, 41, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 1 x 41 x 15 = 59040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59040
Therefore, the GCF of Fractions 33/32,59/12,60/82,575/45 is 1/59040
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 32,12,82,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,12,82,45) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(32,12,82,45) x common factors =1 x 24 = 24
LCM(32,12,82,45) = ( 32 × 12 × 82 × 45 ) / 24
LCM(32,12,82,45) = 1416960 / 24
LCM(32,12,82,45) = 59040
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 33/32, 59/12, 60/82, 575/45?
Answer: GCF of Numerators as per given numbers 33/32, 59/12, 60/82, 575/45 is
GCF of Numerators i.e. for 33,59,60,575 is 1
LCM of denominators i.e. for 32,12,82,45 is 59040.
Thus, GCF of Fractions is 1/59040.Finally, GCF of Fractions for 33/32, 59/12, 60/82, 575/45 is 1/59040.