Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1120/226,1087/4327
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 1120,1087
Greatest Common Factor of Numerators i.e. GCF of 1120,1087 is 1 .
LCM of Denominators means LCM of 226,4327 as per the given fractions.
LCM of 226,4327 is 977902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1120,1087
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1120
List of positive integer factors of 1120 that divides 1120 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Factors of 1087
List of positive integer factors of 1087 that divides 1087 without a remainder.
1,1087
Greatest Common Factor
We found the factors 1120,1087 . The biggest common factor number is the GCF number.
So the greatest common factor 1120,1087 is 1.
Lets's calculate LCM of 226,4327
Given numbers has no common factors except 1. So, there LCM is their product i.e 977902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/977902
Therefore, the GCF of Fractions 1120/226,1087/4327 is 1/977902
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 226,4327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,4327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,4327) x common factors =1 x 1 = 1
LCM(226,4327) = ( 226 × 4327 ) / 1
LCM(226,4327) = 977902 / 1
LCM(226,4327) = 977902
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 1120/226, 1087/4327?
Answer: GCF of Numerators as per given numbers 1120/226, 1087/4327 is
GCF of Numerators i.e. for 1120,1087 is 1
LCM of denominators i.e. for 226,4327 is 977902.
Thus, GCF of Fractions is 1/977902.Finally, GCF of Fractions for 1120/226, 1087/4327 is 1/977902.