Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8937/764,6104/3161
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 8937,6104
Greatest Common Factor of Numerators i.e. GCF of 8937,6104 is 1 .
LCM of Denominators means LCM of 764,3161 as per the given fractions.
LCM of 764,3161 is 2415004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8937,6104
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1,3,9,27,331,993,2979,8937
Factors of 6104
List of positive integer factors of 6104 that divides 6104 without a remainder.
1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Greatest Common Factor
We found the factors 8937,6104 . The biggest common factor number is the GCF number.
So the greatest common factor 8937,6104 is 1.
Lets's calculate LCM of 764,3161
Given numbers has no common factors except 1. So, there LCM is their product i.e 2415004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2415004
Therefore, the GCF of Fractions 8937/764,6104/3161 is 1/2415004
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 764,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,3161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,3161) x common factors =1 x 1 = 1
LCM(764,3161) = ( 764 × 3161 ) / 1
LCM(764,3161) = 2415004 / 1
LCM(764,3161) = 2415004
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 8937/764, 6104/3161?
Answer: GCF of Numerators as per given numbers 8937/764, 6104/3161 is
GCF of Numerators i.e. for 8937,6104 is 1
LCM of denominators i.e. for 764,3161 is 2415004.
Thus, GCF of Fractions is 1/2415004.Finally, GCF of Fractions for 8937/764, 6104/3161 is 1/2415004.