Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1631/552,3055/325
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 1631,3055
Greatest Common Factor of Numerators i.e. GCF of 1631,3055 is 1 .
LCM of Denominators means LCM of 552,325 as per the given fractions.
LCM of 552,325 is 179400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1631,3055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1631
List of positive integer factors of 1631 that divides 1631 without a remainder.
1,7,233,1631
Factors of 3055
List of positive integer factors of 3055 that divides 3055 without a remainder.
1,5,13,47,65,235,611,3055
Greatest Common Factor
We found the factors 1631,3055 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,3055 is 1.
Lets's calculate LCM of 552,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 179400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179400
Therefore, the GCF of Fractions 1631/552,3055/325 is 1/179400
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 552,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,325) x common factors =1 x 1 = 1
LCM(552,325) = ( 552 × 325 ) / 1
LCM(552,325) = 179400 / 1
LCM(552,325) = 179400
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 1631/552, 3055/325?
Answer: GCF of Numerators as per given numbers 1631/552, 3055/325 is
GCF of Numerators i.e. for 1631,3055 is 1
LCM of denominators i.e. for 552,325 is 179400.
Thus, GCF of Fractions is 1/179400.Finally, GCF of Fractions for 1631/552, 3055/325 is 1/179400.