Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2995/53,9388/831
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 2995,9388
Greatest Common Factor of Numerators i.e. GCF of 2995,9388 is 1 .
LCM of Denominators means LCM of 53,831 as per the given fractions.
LCM of 53,831 is 44043 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2995,9388
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2995
List of positive integer factors of 2995 that divides 2995 without a remainder.
1,5,599,2995
Factors of 9388
List of positive integer factors of 9388 that divides 9388 without a remainder.
1,2,4,2347,4694,9388
Greatest Common Factor
We found the factors 2995,9388 . The biggest common factor number is the GCF number.
So the greatest common factor 2995,9388 is 1.
Lets's calculate LCM of 53,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 44043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44043
Therefore, the GCF of Fractions 2995/53,9388/831 is 1/44043
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 53,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,831) x common factors =1 x 1 = 1
LCM(53,831) = ( 53 × 831 ) / 1
LCM(53,831) = 44043 / 1
LCM(53,831) = 44043
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 2995/53, 9388/831?
Answer: GCF of Numerators as per given numbers 2995/53, 9388/831 is
GCF of Numerators i.e. for 2995,9388 is 1
LCM of denominators i.e. for 53,831 is 44043.
Thus, GCF of Fractions is 1/44043.Finally, GCF of Fractions for 2995/53, 9388/831 is 1/44043.