Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1940/940,9625/794
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 1940,9625
Greatest Common Factor of Numerators i.e. GCF of 1940,9625 is 5 .
LCM of Denominators means LCM of 940,794 as per the given fractions.
LCM of 940,794 is 373180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1940,9625
5 | 1940, 9625 |
388, 1925 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1940
List of positive integer factors of 1940 that divides 1940 without a remainder.
1,2,4,5,10,20,97,194,388,485,970,1940
Factors of 9625
List of positive integer factors of 9625 that divides 9625 without a remainder.
1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625
Greatest Common Factor
We found the factors 1940,9625 . The biggest common factor number is the GCF number.
So the greatest common factor 1940,9625 is 5.
Lets's calculate LCM of 940,794
2 | 940, 794 |
470, 397 |
∴ So the LCM of the given numbers is 2 x 470 x 397 = 373180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/373180
Therefore, the GCF of Fractions 1940/940,9625/794 is 5/373180
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 940,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(940,794) x common factors =2 x 1 = 2
LCM(940,794) = ( 940 × 794 ) / 2
LCM(940,794) = 746360 / 2
LCM(940,794) = 373180
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 1940/940, 9625/794?
Answer: GCF of Numerators as per given numbers 1940/940, 9625/794 is
GCF of Numerators i.e. for 1940,9625 is 5
LCM of denominators i.e. for 940,794 is 373180.
Thus, GCF of Fractions is 5/373180.Finally, GCF of Fractions for 1940/940, 9625/794 is 5/373180.