Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/90,31/95,821/372
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 50,31,821
Greatest Common Factor of Numerators i.e. GCF of 50,31,821 is 1 .
LCM of Denominators means LCM of 90,95,372 as per the given fractions.
LCM of 90,95,372 is 106020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,31,821
∴ 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 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Greatest Common Factor
We found the factors 50,31,821 . The biggest common factor number is the GCF number.
So the greatest common factor 50,31,821 is 1.
Lets's calculate LCM of 90,95,372
2 | 90, 95, 372 |
3 | 45, 95, 186 |
5 | 15, 95, 62 |
3, 19, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 19 x 62 = 106020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106020
Therefore, the GCF of Fractions 50/90,31/95,821/372 is 1/106020
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 90,95,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,95,372) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(90,95,372) x common factors =1 x 30 = 30
LCM(90,95,372) = ( 90 × 95 × 372 ) / 30
LCM(90,95,372) = 3180600 / 30
LCM(90,95,372) = 106020
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 50/90, 31/95, 821/372?
Answer: GCF of Numerators as per given numbers 50/90, 31/95, 821/372 is
GCF of Numerators i.e. for 50,31,821 is 1
LCM of denominators i.e. for 90,95,372 is 106020.
Thus, GCF of Fractions is 1/106020.Finally, GCF of Fractions for 50/90, 31/95, 821/372 is 1/106020.