Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/48,82/450,904/300
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 31,82,904
Greatest Common Factor of Numerators i.e. GCF of 31,82,904 is 1 .
LCM of Denominators means LCM of 48,450,300 as per the given fractions.
LCM of 48,450,300 is 3600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,82,904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 31,82,904 . The biggest common factor number is the GCF number.
So the greatest common factor 31,82,904 is 1.
Lets's calculate LCM of 48,450,300
2 | 48, 450, 300 |
2 | 24, 225, 150 |
3 | 12, 225, 75 |
5 | 4, 25, 75 |
5 | 4, 5, 15 |
4, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 4 x 1 x 3 = 3600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3600
Therefore, the GCF of Fractions 31/48,82/450,904/300 is 1/3600
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 48,450,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,450,300) = 6
common factors(in case of two or more numbers have common factors) = 300
GCF(48,450,300) x common factors =6 x 300 = 1800
LCM(48,450,300) = ( 48 × 450 × 300 ) / 1800
LCM(48,450,300) = 6480000 / 1800
LCM(48,450,300) = 3600
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 31/48, 82/450, 904/300?
Answer: GCF of Numerators as per given numbers 31/48, 82/450, 904/300 is
GCF of Numerators i.e. for 31,82,904 is 1
LCM of denominators i.e. for 48,450,300 is 3600.
Thus, GCF of Fractions is 1/3600.Finally, GCF of Fractions for 31/48, 82/450, 904/300 is 1/3600.