Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/77,351/268
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 403,351
Greatest Common Factor of Numerators i.e. GCF of 403,351 is 13 .
LCM of Denominators means LCM of 77,268 as per the given fractions.
LCM of 77,268 is 20636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 403,351
13 | 403, 351 |
31, 27 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 403,351 . The biggest common factor number is the GCF number.
So the greatest common factor 403,351 is 13.
Lets's calculate LCM of 77,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 20636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/20636
Therefore, the GCF of Fractions 403/77,351/268 is 13/20636
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 77,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,268) x common factors =1 x 1 = 1
LCM(77,268) = ( 77 × 268 ) / 1
LCM(77,268) = 20636 / 1
LCM(77,268) = 20636
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 403/77, 351/268?
Answer: GCF of Numerators as per given numbers 403/77, 351/268 is
GCF of Numerators i.e. for 403,351 is 13
LCM of denominators i.e. for 77,268 is 20636.
Thus, GCF of Fractions is 13/20636.Finally, GCF of Fractions for 403/77, 351/268 is 13/20636.