Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5512/305,1975/6318
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 5512,1975
Greatest Common Factor of Numerators i.e. GCF of 5512,1975 is 1 .
LCM of Denominators means LCM of 305,6318 as per the given fractions.
LCM of 305,6318 is 1926990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5512,1975
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5512
List of positive integer factors of 5512 that divides 5512 without a remainder.
1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Factors of 1975
List of positive integer factors of 1975 that divides 1975 without a remainder.
1,5,25,79,395,1975
Greatest Common Factor
We found the factors 5512,1975 . The biggest common factor number is the GCF number.
So the greatest common factor 5512,1975 is 1.
Lets's calculate LCM of 305,6318
Given numbers has no common factors except 1. So, there LCM is their product i.e 1926990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1926990
Therefore, the GCF of Fractions 5512/305,1975/6318 is 1/1926990
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 305,6318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,6318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,6318) x common factors =1 x 1 = 1
LCM(305,6318) = ( 305 × 6318 ) / 1
LCM(305,6318) = 1926990 / 1
LCM(305,6318) = 1926990
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 5512/305, 1975/6318?
Answer: GCF of Numerators as per given numbers 5512/305, 1975/6318 is
GCF of Numerators i.e. for 5512,1975 is 1
LCM of denominators i.e. for 305,6318 is 1926990.
Thus, GCF of Fractions is 1/1926990.Finally, GCF of Fractions for 5512/305, 1975/6318 is 1/1926990.