Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3502/239,3755/7197
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 3502,3755
Greatest Common Factor of Numerators i.e. GCF of 3502,3755 is 1 .
LCM of Denominators means LCM of 239,7197 as per the given fractions.
LCM of 239,7197 is 1720083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3502,3755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3502
List of positive integer factors of 3502 that divides 3502 without a remainder.
1,2,17,34,103,206,1751,3502
Factors of 3755
List of positive integer factors of 3755 that divides 3755 without a remainder.
1,5,751,3755
Greatest Common Factor
We found the factors 3502,3755 . The biggest common factor number is the GCF number.
So the greatest common factor 3502,3755 is 1.
Lets's calculate LCM of 239,7197
Given numbers has no common factors except 1. So, there LCM is their product i.e 1720083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1720083
Therefore, the GCF of Fractions 3502/239,3755/7197 is 1/1720083
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 239,7197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,7197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,7197) x common factors =1 x 1 = 1
LCM(239,7197) = ( 239 × 7197 ) / 1
LCM(239,7197) = 1720083 / 1
LCM(239,7197) = 1720083
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 3502/239, 3755/7197?
Answer: GCF of Numerators as per given numbers 3502/239, 3755/7197 is
GCF of Numerators i.e. for 3502,3755 is 1
LCM of denominators i.e. for 239,7197 is 1720083.
Thus, GCF of Fractions is 1/1720083.Finally, GCF of Fractions for 3502/239, 3755/7197 is 1/1720083.