Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4240/67,1297/237
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 4240,1297
Greatest Common Factor of Numerators i.e. GCF of 4240,1297 is 1 .
LCM of Denominators means LCM of 67,237 as per the given fractions.
LCM of 67,237 is 15879 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4240,1297
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4240
List of positive integer factors of 4240 that divides 4240 without a remainder.
1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240
Factors of 1297
List of positive integer factors of 1297 that divides 1297 without a remainder.
1,1297
Greatest Common Factor
We found the factors 4240,1297 . The biggest common factor number is the GCF number.
So the greatest common factor 4240,1297 is 1.
Lets's calculate LCM of 67,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 15879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15879
Therefore, the GCF of Fractions 4240/67,1297/237 is 1/15879
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 67,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,237) x common factors =1 x 1 = 1
LCM(67,237) = ( 67 × 237 ) / 1
LCM(67,237) = 15879 / 1
LCM(67,237) = 15879
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 4240/67, 1297/237?
Answer: GCF of Numerators as per given numbers 4240/67, 1297/237 is
GCF of Numerators i.e. for 4240,1297 is 1
LCM of denominators i.e. for 67,237 is 15879.
Thus, GCF of Fractions is 1/15879.Finally, GCF of Fractions for 4240/67, 1297/237 is 1/15879.