Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/131,832/986
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 338,832
Greatest Common Factor of Numerators i.e. GCF of 338,832 is 26 .
LCM of Denominators means LCM of 131,986 as per the given fractions.
LCM of 131,986 is 129166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,832
2 | 338, 832 |
13 | 169, 416 |
13, 32 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 338,832 . The biggest common factor number is the GCF number.
So the greatest common factor 338,832 is 26.
Lets's calculate LCM of 131,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 129166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/129166
Therefore, the GCF of Fractions 338/131,832/986 is 26/129166
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 131,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,986) x common factors =1 x 1 = 1
LCM(131,986) = ( 131 × 986 ) / 1
LCM(131,986) = 129166 / 1
LCM(131,986) = 129166
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 338/131, 832/986?
Answer: GCF of Numerators as per given numbers 338/131, 832/986 is
GCF of Numerators i.e. for 338,832 is 26
LCM of denominators i.e. for 131,986 is 129166.
Thus, GCF of Fractions is 26/129166.Finally, GCF of Fractions for 338/131, 832/986 is 26/129166.