Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/921,1930/4378
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 965,1930
Greatest Common Factor of Numerators i.e. GCF of 965,1930 is 965 .
LCM of Denominators means LCM of 921,4378 as per the given fractions.
LCM of 921,4378 is 4032138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 965,1930
5 | 965, 1930 |
193 | 193, 386 |
1, 2 |
∴ So the GCF of the given numbers is 5 x 193 = 965
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 1930
List of positive integer factors of 1930 that divides 1930 without a remainder.
1,2,5,10,193,386,965,1930
Greatest Common Factor
We found the factors 965,1930 . The biggest common factor number is the GCF number.
So the greatest common factor 965,1930 is 965.
Lets's calculate LCM of 921,4378
Given numbers has no common factors except 1. So, there LCM is their product i.e 4032138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 965/4032138
Therefore, the GCF of Fractions 965/921,1930/4378 is 965/4032138
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 921,4378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,4378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,4378) x common factors =1 x 1 = 1
LCM(921,4378) = ( 921 × 4378 ) / 1
LCM(921,4378) = 4032138 / 1
LCM(921,4378) = 4032138
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 965/921, 1930/4378?
Answer: GCF of Numerators as per given numbers 965/921, 1930/4378 is
GCF of Numerators i.e. for 965,1930 is 965
LCM of denominators i.e. for 921,4378 is 4032138.
Thus, GCF of Fractions is 965/4032138.Finally, GCF of Fractions for 965/921, 1930/4378 is 965/4032138.