Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/939,7070/6039
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 878,7070
Greatest Common Factor of Numerators i.e. GCF of 878,7070 is 2 .
LCM of Denominators means LCM of 939,6039 as per the given fractions.
LCM of 939,6039 is 1890207 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 878,7070
2 | 878, 7070 |
439, 3535 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 7070
List of positive integer factors of 7070 that divides 7070 without a remainder.
1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070
Greatest Common Factor
We found the factors 878,7070 . The biggest common factor number is the GCF number.
So the greatest common factor 878,7070 is 2.
Lets's calculate LCM of 939,6039
3 | 939, 6039 |
313, 2013 |
∴ So the LCM of the given numbers is 3 x 313 x 2013 = 1890207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1890207
Therefore, the GCF of Fractions 878/939,7070/6039 is 2/1890207
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 939,6039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,6039) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,6039) x common factors =3 x 1 = 3
LCM(939,6039) = ( 939 × 6039 ) / 3
LCM(939,6039) = 5670621 / 3
LCM(939,6039) = 1890207
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 878/939, 7070/6039?
Answer: GCF of Numerators as per given numbers 878/939, 7070/6039 is
GCF of Numerators i.e. for 878,7070 is 2
LCM of denominators i.e. for 939,6039 is 1890207.
Thus, GCF of Fractions is 2/1890207.Finally, GCF of Fractions for 878/939, 7070/6039 is 2/1890207.