Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/86,7940/572
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 370,7940
Greatest Common Factor of Numerators i.e. GCF of 370,7940 is 10 .
LCM of Denominators means LCM of 86,572 as per the given fractions.
LCM of 86,572 is 24596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 370,7940
2 | 370, 7940 |
5 | 185, 3970 |
37, 794 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 7940
List of positive integer factors of 7940 that divides 7940 without a remainder.
1,2,4,5,10,20,397,794,1588,1985,3970,7940
Greatest Common Factor
We found the factors 370,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 370,7940 is 10.
Lets's calculate LCM of 86,572
2 | 86, 572 |
43, 286 |
∴ So the LCM of the given numbers is 2 x 43 x 286 = 24596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/24596
Therefore, the GCF of Fractions 370/86,7940/572 is 10/24596
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 86,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,572) x common factors =2 x 1 = 2
LCM(86,572) = ( 86 × 572 ) / 2
LCM(86,572) = 49192 / 2
LCM(86,572) = 24596
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 370/86, 7940/572?
Answer: GCF of Numerators as per given numbers 370/86, 7940/572 is
GCF of Numerators i.e. for 370,7940 is 10
LCM of denominators i.e. for 86,572 is 24596.
Thus, GCF of Fractions is 10/24596.Finally, GCF of Fractions for 370/86, 7940/572 is 10/24596.