Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/190,96/635,974/566
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 72,96,974
Greatest Common Factor of Numerators i.e. GCF of 72,96,974 is 2 .
LCM of Denominators means LCM of 190,635,566 as per the given fractions.
LCM of 190,635,566 is 6828790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,96,974
2 | 72, 96, 974 |
36, 48, 487 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 72,96,974 . The biggest common factor number is the GCF number.
So the greatest common factor 72,96,974 is 2.
Lets's calculate LCM of 190,635,566
2 | 190, 635, 566 |
5 | 95, 635, 283 |
19, 127, 283 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 127 x 283 = 6828790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6828790
Therefore, the GCF of Fractions 72/190,96/635,974/566 is 2/6828790
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 190,635,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,635,566) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(190,635,566) x common factors =1 x 10 = 10
LCM(190,635,566) = ( 190 × 635 × 566 ) / 10
LCM(190,635,566) = 68287900 / 10
LCM(190,635,566) = 6828790
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 72/190, 96/635, 974/566?
Answer: GCF of Numerators as per given numbers 72/190, 96/635, 974/566 is
GCF of Numerators i.e. for 72,96,974 is 2
LCM of denominators i.e. for 190,635,566 is 6828790.
Thus, GCF of Fractions is 2/6828790.Finally, GCF of Fractions for 72/190, 96/635, 974/566 is 2/6828790.