Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/37,73/588,880/879
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 50,73,880
Greatest Common Factor of Numerators i.e. GCF of 50,73,880 is 1 .
LCM of Denominators means LCM of 37,588,879 as per the given fractions.
LCM of 37,588,879 is 6374508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,73,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 50,73,880 . The biggest common factor number is the GCF number.
So the greatest common factor 50,73,880 is 1.
Lets's calculate LCM of 37,588,879
3 | 37, 588, 879 |
37, 196, 293 |
∴ So the LCM of the given numbers is 3 x 37 x 196 x 293 = 6374508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6374508
Therefore, the GCF of Fractions 50/37,73/588,880/879 is 1/6374508
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 37,588,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,588,879) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(37,588,879) x common factors =1 x 3 = 3
LCM(37,588,879) = ( 37 × 588 × 879 ) / 3
LCM(37,588,879) = 19123524 / 3
LCM(37,588,879) = 6374508
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 50/37, 73/588, 880/879?
Answer: GCF of Numerators as per given numbers 50/37, 73/588, 880/879 is
GCF of Numerators i.e. for 50,73,880 is 1
LCM of denominators i.e. for 37,588,879 is 6374508.
Thus, GCF of Fractions is 1/6374508.Finally, GCF of Fractions for 50/37, 73/588, 880/879 is 1/6374508.