Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5904/98,6661/295
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 5904,6661
Greatest Common Factor of Numerators i.e. GCF of 5904,6661 is 1 .
LCM of Denominators means LCM of 98,295 as per the given fractions.
LCM of 98,295 is 28910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5904,6661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5904
List of positive integer factors of 5904 that divides 5904 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Factors of 6661
List of positive integer factors of 6661 that divides 6661 without a remainder.
1,6661
Greatest Common Factor
We found the factors 5904,6661 . The biggest common factor number is the GCF number.
So the greatest common factor 5904,6661 is 1.
Lets's calculate LCM of 98,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 28910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28910
Therefore, the GCF of Fractions 5904/98,6661/295 is 1/28910
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 98,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,295) x common factors =1 x 1 = 1
LCM(98,295) = ( 98 × 295 ) / 1
LCM(98,295) = 28910 / 1
LCM(98,295) = 28910
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 5904/98, 6661/295?
Answer: GCF of Numerators as per given numbers 5904/98, 6661/295 is
GCF of Numerators i.e. for 5904,6661 is 1
LCM of denominators i.e. for 98,295 is 28910.
Thus, GCF of Fractions is 1/28910.Finally, GCF of Fractions for 5904/98, 6661/295 is 1/28910.