Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/237,5599/497
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 250,5599
Greatest Common Factor of Numerators i.e. GCF of 250,5599 is 1 .
LCM of Denominators means LCM of 237,497 as per the given fractions.
LCM of 237,497 is 117789 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,5599
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1,11,509,5599
Greatest Common Factor
We found the factors 250,5599 . The biggest common factor number is the GCF number.
So the greatest common factor 250,5599 is 1.
Lets's calculate LCM of 237,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 117789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117789
Therefore, the GCF of Fractions 250/237,5599/497 is 1/117789
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 237,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,497) x common factors =1 x 1 = 1
LCM(237,497) = ( 237 × 497 ) / 1
LCM(237,497) = 117789 / 1
LCM(237,497) = 117789
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 250/237, 5599/497?
Answer: GCF of Numerators as per given numbers 250/237, 5599/497 is
GCF of Numerators i.e. for 250,5599 is 1
LCM of denominators i.e. for 237,497 is 117789.
Thus, GCF of Fractions is 1/117789.Finally, GCF of Fractions for 250/237, 5599/497 is 1/117789.