Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/350,906/903,962/572
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 394,906,962
Greatest Common Factor of Numerators i.e. GCF of 394,906,962 is 2 .
LCM of Denominators means LCM of 350,903,572 as per the given fractions.
LCM of 350,903,572 is 12912900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,906,962
2 | 394, 906, 962 |
197, 453, 481 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 394,906,962 . The biggest common factor number is the GCF number.
So the greatest common factor 394,906,962 is 2.
Lets's calculate LCM of 350,903,572
2 | 350, 903, 572 |
7 | 175, 903, 286 |
25, 129, 286 |
∴ So the LCM of the given numbers is 2 x 7 x 25 x 129 x 286 = 12912900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12912900
Therefore, the GCF of Fractions 394/350,906/903,962/572 is 2/12912900
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 350,903,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,903,572) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(350,903,572) x common factors =1 x 14 = 14
LCM(350,903,572) = ( 350 × 903 × 572 ) / 14
LCM(350,903,572) = 180780600 / 14
LCM(350,903,572) = 12912900
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 394/350, 906/903, 962/572?
Answer: GCF of Numerators as per given numbers 394/350, 906/903, 962/572 is
GCF of Numerators i.e. for 394,906,962 is 2
LCM of denominators i.e. for 350,903,572 is 12912900.
Thus, GCF of Fractions is 2/12912900.Finally, GCF of Fractions for 394/350, 906/903, 962/572 is 2/12912900.