Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/510,4055/4372
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 227,4055
Greatest Common Factor of Numerators i.e. GCF of 227,4055 is 1 .
LCM of Denominators means LCM of 510,4372 as per the given fractions.
LCM of 510,4372 is 1114860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 227,4055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 4055
List of positive integer factors of 4055 that divides 4055 without a remainder.
1,5,811,4055
Greatest Common Factor
We found the factors 227,4055 . The biggest common factor number is the GCF number.
So the greatest common factor 227,4055 is 1.
Lets's calculate LCM of 510,4372
2 | 510, 4372 |
255, 2186 |
∴ So the LCM of the given numbers is 2 x 255 x 2186 = 1114860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1114860
Therefore, the GCF of Fractions 227/510,4055/4372 is 1/1114860
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 510,4372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,4372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,4372) x common factors =2 x 1 = 2
LCM(510,4372) = ( 510 × 4372 ) / 2
LCM(510,4372) = 2229720 / 2
LCM(510,4372) = 1114860
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 227/510, 4055/4372?
Answer: GCF of Numerators as per given numbers 227/510, 4055/4372 is
GCF of Numerators i.e. for 227,4055 is 1
LCM of denominators i.e. for 510,4372 is 1114860.
Thus, GCF of Fractions is 1/1114860.Finally, GCF of Fractions for 227/510, 4055/4372 is 1/1114860.