Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/232,9706/1069
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 36,9706
Greatest Common Factor of Numerators i.e. GCF of 36,9706 is 2 .
LCM of Denominators means LCM of 232,1069 as per the given fractions.
LCM of 232,1069 is 248008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,9706
2 | 36, 9706 |
18, 4853 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 9706
List of positive integer factors of 9706 that divides 9706 without a remainder.
1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors 36,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 36,9706 is 2.
Lets's calculate LCM of 232,1069
Given numbers has no common factors except 1. So, there LCM is their product i.e 248008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248008
Therefore, the GCF of Fractions 36/232,9706/1069 is 2/248008
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 232,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,1069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,1069) x common factors =1 x 1 = 1
LCM(232,1069) = ( 232 × 1069 ) / 1
LCM(232,1069) = 248008 / 1
LCM(232,1069) = 248008
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 36/232, 9706/1069?
Answer: GCF of Numerators as per given numbers 36/232, 9706/1069 is
GCF of Numerators i.e. for 36,9706 is 2
LCM of denominators i.e. for 232,1069 is 248008.
Thus, GCF of Fractions is 2/248008.Finally, GCF of Fractions for 36/232, 9706/1069 is 2/248008.