Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4839/139,2841/714
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 4839,2841
Greatest Common Factor of Numerators i.e. GCF of 4839,2841 is 3 .
LCM of Denominators means LCM of 139,714 as per the given fractions.
LCM of 139,714 is 99246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4839,2841
3 | 4839, 2841 |
1613, 947 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4839
List of positive integer factors of 4839 that divides 4839 without a remainder.
1,3,1613,4839
Factors of 2841
List of positive integer factors of 2841 that divides 2841 without a remainder.
1,3,947,2841
Greatest Common Factor
We found the factors 4839,2841 . The biggest common factor number is the GCF number.
So the greatest common factor 4839,2841 is 3.
Lets's calculate LCM of 139,714
Given numbers has no common factors except 1. So, there LCM is their product i.e 99246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/99246
Therefore, the GCF of Fractions 4839/139,2841/714 is 3/99246
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 139,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,714) x common factors =1 x 1 = 1
LCM(139,714) = ( 139 × 714 ) / 1
LCM(139,714) = 99246 / 1
LCM(139,714) = 99246
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 4839/139, 2841/714?
Answer: GCF of Numerators as per given numbers 4839/139, 2841/714 is
GCF of Numerators i.e. for 4839,2841 is 3
LCM of denominators i.e. for 139,714 is 99246.
Thus, GCF of Fractions is 3/99246.Finally, GCF of Fractions for 4839/139, 2841/714 is 3/99246.