Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3821/792,5012/367
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 3821,5012
Greatest Common Factor of Numerators i.e. GCF of 3821,5012 is 1 .
LCM of Denominators means LCM of 792,367 as per the given fractions.
LCM of 792,367 is 290664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3821,5012
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3821
List of positive integer factors of 3821 that divides 3821 without a remainder.
1,3821
Factors of 5012
List of positive integer factors of 5012 that divides 5012 without a remainder.
1,2,4,7,14,28,179,358,716,1253,2506,5012
Greatest Common Factor
We found the factors 3821,5012 . The biggest common factor number is the GCF number.
So the greatest common factor 3821,5012 is 1.
Lets's calculate LCM of 792,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 290664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290664
Therefore, the GCF of Fractions 3821/792,5012/367 is 1/290664
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 792,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(792,367) x common factors =1 x 1 = 1
LCM(792,367) = ( 792 × 367 ) / 1
LCM(792,367) = 290664 / 1
LCM(792,367) = 290664
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 3821/792, 5012/367?
Answer: GCF of Numerators as per given numbers 3821/792, 5012/367 is
GCF of Numerators i.e. for 3821,5012 is 1
LCM of denominators i.e. for 792,367 is 290664.
Thus, GCF of Fractions is 1/290664.Finally, GCF of Fractions for 3821/792, 5012/367 is 1/290664.