Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 185/12,3613/455
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 185,3613
Greatest Common Factor of Numerators i.e. GCF of 185,3613 is 1 .
LCM of Denominators means LCM of 12,455 as per the given fractions.
LCM of 12,455 is 5460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 185,3613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 3613
List of positive integer factors of 3613 that divides 3613 without a remainder.
1,3613
Greatest Common Factor
We found the factors 185,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 185,3613 is 1.
Lets's calculate LCM of 12,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 5460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5460
Therefore, the GCF of Fractions 185/12,3613/455 is 1/5460
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 12,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,455) x common factors =1 x 1 = 1
LCM(12,455) = ( 12 × 455 ) / 1
LCM(12,455) = 5460 / 1
LCM(12,455) = 5460
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 185/12, 3613/455?
Answer: GCF of Numerators as per given numbers 185/12, 3613/455 is
GCF of Numerators i.e. for 185,3613 is 1
LCM of denominators i.e. for 12,455 is 5460.
Thus, GCF of Fractions is 1/5460.Finally, GCF of Fractions for 185/12, 3613/455 is 1/5460.