Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 320/394,7065/8470
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 320,7065
Greatest Common Factor of Numerators i.e. GCF of 320,7065 is 5 .
LCM of Denominators means LCM of 394,8470 as per the given fractions.
LCM of 394,8470 is 1668590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 320,7065
5 | 320, 7065 |
64, 1413 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 7065
List of positive integer factors of 7065 that divides 7065 without a remainder.
1,3,5,9,15,45,157,471,785,1413,2355,7065
Greatest Common Factor
We found the factors 320,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 320,7065 is 5.
Lets's calculate LCM of 394,8470
2 | 394, 8470 |
197, 4235 |
∴ So the LCM of the given numbers is 2 x 197 x 4235 = 1668590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1668590
Therefore, the GCF of Fractions 320/394,7065/8470 is 5/1668590
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 394,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,8470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,8470) x common factors =2 x 1 = 2
LCM(394,8470) = ( 394 × 8470 ) / 2
LCM(394,8470) = 3337180 / 2
LCM(394,8470) = 1668590
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 320/394, 7065/8470?
Answer: GCF of Numerators as per given numbers 320/394, 7065/8470 is
GCF of Numerators i.e. for 320,7065 is 5
LCM of denominators i.e. for 394,8470 is 1668590.
Thus, GCF of Fractions is 5/1668590.Finally, GCF of Fractions for 320/394, 7065/8470 is 5/1668590.