Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7502/939,4944/978
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 7502,4944
Greatest Common Factor of Numerators i.e. GCF of 7502,4944 is 2 .
LCM of Denominators means LCM of 939,978 as per the given fractions.
LCM of 939,978 is 306114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7502,4944
2 | 7502, 4944 |
3751, 2472 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7502
List of positive integer factors of 7502 that divides 7502 without a remainder.
1,2,11,22,31,62,121,242,341,682,3751,7502
Factors of 4944
List of positive integer factors of 4944 that divides 4944 without a remainder.
1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Greatest Common Factor
We found the factors 7502,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,4944 is 2.
Lets's calculate LCM of 939,978
3 | 939, 978 |
313, 326 |
∴ So the LCM of the given numbers is 3 x 313 x 326 = 306114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306114
Therefore, the GCF of Fractions 7502/939,4944/978 is 2/306114
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 939,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,978) x common factors =3 x 1 = 3
LCM(939,978) = ( 939 × 978 ) / 3
LCM(939,978) = 918342 / 3
LCM(939,978) = 306114
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 7502/939, 4944/978?
Answer: GCF of Numerators as per given numbers 7502/939, 4944/978 is
GCF of Numerators i.e. for 7502,4944 is 2
LCM of denominators i.e. for 939,978 is 306114.
Thus, GCF of Fractions is 2/306114.Finally, GCF of Fractions for 7502/939, 4944/978 is 2/306114.