Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 773/62,181/82,990/50
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 773,181,990
Greatest Common Factor of Numerators i.e. GCF of 773,181,990 is 1 .
LCM of Denominators means LCM of 62,82,50 as per the given fractions.
LCM of 62,82,50 is 63550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 773,181,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 773,181,990 . The biggest common factor number is the GCF number.
So the greatest common factor 773,181,990 is 1.
Lets's calculate LCM of 62,82,50
2 | 62, 82, 50 |
31, 41, 25 |
∴ So the LCM of the given numbers is 2 x 31 x 41 x 25 = 63550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63550
Therefore, the GCF of Fractions 773/62,181/82,990/50 is 1/63550
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 62,82,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,82,50) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,82,50) x common factors =2 x 2 = 4
LCM(62,82,50) = ( 62 × 82 × 50 ) / 4
LCM(62,82,50) = 254200 / 4
LCM(62,82,50) = 63550
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 773/62, 181/82, 990/50?
Answer: GCF of Numerators as per given numbers 773/62, 181/82, 990/50 is
GCF of Numerators i.e. for 773,181,990 is 1
LCM of denominators i.e. for 62,82,50 is 63550.
Thus, GCF of Fractions is 1/63550.Finally, GCF of Fractions for 773/62, 181/82, 990/50 is 1/63550.