Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3260/55,6244/994
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 3260,6244
Greatest Common Factor of Numerators i.e. GCF of 3260,6244 is 4 .
LCM of Denominators means LCM of 55,994 as per the given fractions.
LCM of 55,994 is 54670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3260,6244
2 | 3260, 6244 |
2 | 1630, 3122 |
815, 1561 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3260
List of positive integer factors of 3260 that divides 3260 without a remainder.
1,2,4,5,10,20,163,326,652,815,1630,3260
Factors of 6244
List of positive integer factors of 6244 that divides 6244 without a remainder.
1,2,4,7,14,28,223,446,892,1561,3122,6244
Greatest Common Factor
We found the factors 3260,6244 . The biggest common factor number is the GCF number.
So the greatest common factor 3260,6244 is 4.
Lets's calculate LCM of 55,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 54670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/54670
Therefore, the GCF of Fractions 3260/55,6244/994 is 4/54670
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 55,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,994) x common factors =1 x 1 = 1
LCM(55,994) = ( 55 × 994 ) / 1
LCM(55,994) = 54670 / 1
LCM(55,994) = 54670
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 3260/55, 6244/994?
Answer: GCF of Numerators as per given numbers 3260/55, 6244/994 is
GCF of Numerators i.e. for 3260,6244 is 4
LCM of denominators i.e. for 55,994 is 54670.
Thus, GCF of Fractions is 4/54670.Finally, GCF of Fractions for 3260/55, 6244/994 is 4/54670.