Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5201/29,8102/340
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 5201,8102
Greatest Common Factor of Numerators i.e. GCF of 5201,8102 is 1 .
LCM of Denominators means LCM of 29,340 as per the given fractions.
LCM of 29,340 is 9860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5201,8102
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5201
List of positive integer factors of 5201 that divides 5201 without a remainder.
1,7,743,5201
Factors of 8102
List of positive integer factors of 8102 that divides 8102 without a remainder.
1,2,4051,8102
Greatest Common Factor
We found the factors 5201,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 5201,8102 is 1.
Lets's calculate LCM of 29,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 9860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9860
Therefore, the GCF of Fractions 5201/29,8102/340 is 1/9860
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 29,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,340) x common factors =1 x 1 = 1
LCM(29,340) = ( 29 × 340 ) / 1
LCM(29,340) = 9860 / 1
LCM(29,340) = 9860
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 5201/29, 8102/340?
Answer: GCF of Numerators as per given numbers 5201/29, 8102/340 is
GCF of Numerators i.e. for 5201,8102 is 1
LCM of denominators i.e. for 29,340 is 9860.
Thus, GCF of Fractions is 1/9860.Finally, GCF of Fractions for 5201/29, 8102/340 is 1/9860.