Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 191/90,529/87,212/970
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 191,529,212
Greatest Common Factor of Numerators i.e. GCF of 191,529,212 is 1 .
LCM of Denominators means LCM of 90,87,970 as per the given fractions.
LCM of 90,87,970 is 253170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 191,529,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 191,529,212 . The biggest common factor number is the GCF number.
So the greatest common factor 191,529,212 is 1.
Lets's calculate LCM of 90,87,970
2 | 90, 87, 970 |
3 | 45, 87, 485 |
5 | 15, 29, 485 |
3, 29, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 29 x 97 = 253170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253170
Therefore, the GCF of Fractions 191/90,529/87,212/970 is 1/253170
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 90,87,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,87,970) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(90,87,970) x common factors =1 x 30 = 30
LCM(90,87,970) = ( 90 × 87 × 970 ) / 30
LCM(90,87,970) = 7595100 / 30
LCM(90,87,970) = 253170
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 191/90, 529/87, 212/970?
Answer: GCF of Numerators as per given numbers 191/90, 529/87, 212/970 is
GCF of Numerators i.e. for 191,529,212 is 1
LCM of denominators i.e. for 90,87,970 is 253170.
Thus, GCF of Fractions is 1/253170.Finally, GCF of Fractions for 191/90, 529/87, 212/970 is 1/253170.