Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4103/123,2262/5555
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 4103,2262
Greatest Common Factor of Numerators i.e. GCF of 4103,2262 is 1 .
LCM of Denominators means LCM of 123,5555 as per the given fractions.
LCM of 123,5555 is 683265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4103,2262
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4103
List of positive integer factors of 4103 that divides 4103 without a remainder.
1,11,373,4103
Factors of 2262
List of positive integer factors of 2262 that divides 2262 without a remainder.
1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262
Greatest Common Factor
We found the factors 4103,2262 . The biggest common factor number is the GCF number.
So the greatest common factor 4103,2262 is 1.
Lets's calculate LCM of 123,5555
Given numbers has no common factors except 1. So, there LCM is their product i.e 683265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683265
Therefore, the GCF of Fractions 4103/123,2262/5555 is 1/683265
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 123,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5555) x common factors =1 x 1 = 1
LCM(123,5555) = ( 123 × 5555 ) / 1
LCM(123,5555) = 683265 / 1
LCM(123,5555) = 683265
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 4103/123, 2262/5555?
Answer: GCF of Numerators as per given numbers 4103/123, 2262/5555 is
GCF of Numerators i.e. for 4103,2262 is 1
LCM of denominators i.e. for 123,5555 is 683265.
Thus, GCF of Fractions is 1/683265.Finally, GCF of Fractions for 4103/123, 2262/5555 is 1/683265.