Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2118/343,3982/8332
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 2118,3982
Greatest Common Factor of Numerators i.e. GCF of 2118,3982 is 2 .
LCM of Denominators means LCM of 343,8332 as per the given fractions.
LCM of 343,8332 is 2857876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2118,3982
2 | 2118, 3982 |
1059, 1991 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2118
List of positive integer factors of 2118 that divides 2118 without a remainder.
1,2,3,6,353,706,1059,2118
Factors of 3982
List of positive integer factors of 3982 that divides 3982 without a remainder.
1,2,11,22,181,362,1991,3982
Greatest Common Factor
We found the factors 2118,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 2118,3982 is 2.
Lets's calculate LCM of 343,8332
Given numbers has no common factors except 1. So, there LCM is their product i.e 2857876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2857876
Therefore, the GCF of Fractions 2118/343,3982/8332 is 2/2857876
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 343,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,8332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,8332) x common factors =1 x 1 = 1
LCM(343,8332) = ( 343 × 8332 ) / 1
LCM(343,8332) = 2857876 / 1
LCM(343,8332) = 2857876
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 2118/343, 3982/8332?
Answer: GCF of Numerators as per given numbers 2118/343, 3982/8332 is
GCF of Numerators i.e. for 2118,3982 is 2
LCM of denominators i.e. for 343,8332 is 2857876.
Thus, GCF of Fractions is 2/2857876.Finally, GCF of Fractions for 2118/343, 3982/8332 is 2/2857876.