Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3939/863,5038/978
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 3939,5038
Greatest Common Factor of Numerators i.e. GCF of 3939,5038 is 1 .
LCM of Denominators means LCM of 863,978 as per the given fractions.
LCM of 863,978 is 844014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3939,5038
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3939
List of positive integer factors of 3939 that divides 3939 without a remainder.
1,3,13,39,101,303,1313,3939
Factors of 5038
List of positive integer factors of 5038 that divides 5038 without a remainder.
1,2,11,22,229,458,2519,5038
Greatest Common Factor
We found the factors 3939,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 3939,5038 is 1.
Lets's calculate LCM of 863,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 844014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844014
Therefore, the GCF of Fractions 3939/863,5038/978 is 1/844014
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 863,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,978) x common factors =1 x 1 = 1
LCM(863,978) = ( 863 × 978 ) / 1
LCM(863,978) = 844014 / 1
LCM(863,978) = 844014
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 3939/863, 5038/978?
Answer: GCF of Numerators as per given numbers 3939/863, 5038/978 is
GCF of Numerators i.e. for 3939,5038 is 1
LCM of denominators i.e. for 863,978 is 844014.
Thus, GCF of Fractions is 1/844014.Finally, GCF of Fractions for 3939/863, 5038/978 is 1/844014.