Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/530,4240/193
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 236,4240
Greatest Common Factor of Numerators i.e. GCF of 236,4240 is 4 .
LCM of Denominators means LCM of 530,193 as per the given fractions.
LCM of 530,193 is 102290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 236,4240
2 | 236, 4240 |
2 | 118, 2120 |
59, 1060 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
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
Greatest Common Factor
We found the factors 236,4240 . The biggest common factor number is the GCF number.
So the greatest common factor 236,4240 is 4.
Lets's calculate LCM of 530,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 102290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/102290
Therefore, the GCF of Fractions 236/530,4240/193 is 4/102290
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 530,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,193) x common factors =1 x 1 = 1
LCM(530,193) = ( 530 × 193 ) / 1
LCM(530,193) = 102290 / 1
LCM(530,193) = 102290
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 236/530, 4240/193?
Answer: GCF of Numerators as per given numbers 236/530, 4240/193 is
GCF of Numerators i.e. for 236,4240 is 4
LCM of denominators i.e. for 530,193 is 102290.
Thus, GCF of Fractions is 4/102290.Finally, GCF of Fractions for 236/530, 4240/193 is 4/102290.