Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/197,26/9983
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 75,26
Greatest Common Factor of Numerators i.e. GCF of 75,26 is 1 .
LCM of Denominators means LCM of 197,9983 as per the given fractions.
LCM of 197,9983 is 1966651 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,26
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Greatest Common Factor
We found the factors 75,26 . The biggest common factor number is the GCF number.
So the greatest common factor 75,26 is 1.
Lets's calculate LCM of 197,9983
Given numbers has no common factors except 1. So, there LCM is their product i.e 1966651
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1966651
Therefore, the GCF of Fractions 75/197,26/9983 is 1/1966651
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 197,9983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,9983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,9983) x common factors =1 x 1 = 1
LCM(197,9983) = ( 197 × 9983 ) / 1
LCM(197,9983) = 1966651 / 1
LCM(197,9983) = 1966651
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 75/197, 26/9983?
Answer: GCF of Numerators as per given numbers 75/197, 26/9983 is
GCF of Numerators i.e. for 75,26 is 1
LCM of denominators i.e. for 197,9983 is 1966651.
Thus, GCF of Fractions is 1/1966651.Finally, GCF of Fractions for 75/197, 26/9983 is 1/1966651.