Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7608/33,4901/103
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 7608,4901
Greatest Common Factor of Numerators i.e. GCF of 7608,4901 is 1 .
LCM of Denominators means LCM of 33,103 as per the given fractions.
LCM of 33,103 is 3399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7608,4901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7608
List of positive integer factors of 7608 that divides 7608 without a remainder.
1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608
Factors of 4901
List of positive integer factors of 4901 that divides 4901 without a remainder.
1,13,29,169,377,4901
Greatest Common Factor
We found the factors 7608,4901 . The biggest common factor number is the GCF number.
So the greatest common factor 7608,4901 is 1.
Lets's calculate LCM of 33,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 3399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3399
Therefore, the GCF of Fractions 7608/33,4901/103 is 1/3399
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 33,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,103) x common factors =1 x 1 = 1
LCM(33,103) = ( 33 × 103 ) / 1
LCM(33,103) = 3399 / 1
LCM(33,103) = 3399
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 7608/33, 4901/103?
Answer: GCF of Numerators as per given numbers 7608/33, 4901/103 is
GCF of Numerators i.e. for 7608,4901 is 1
LCM of denominators i.e. for 33,103 is 3399.
Thus, GCF of Fractions is 1/3399.Finally, GCF of Fractions for 7608/33, 4901/103 is 1/3399.