Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3218/57,7811/151
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 3218,7811
Greatest Common Factor of Numerators i.e. GCF of 3218,7811 is 1 .
LCM of Denominators means LCM of 57,151 as per the given fractions.
LCM of 57,151 is 8607 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3218,7811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3218
List of positive integer factors of 3218 that divides 3218 without a remainder.
1,2,1609,3218
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1,73,107,7811
Greatest Common Factor
We found the factors 3218,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 3218,7811 is 1.
Lets's calculate LCM of 57,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 8607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8607
Therefore, the GCF of Fractions 3218/57,7811/151 is 1/8607
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 57,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,151) x common factors =1 x 1 = 1
LCM(57,151) = ( 57 × 151 ) / 1
LCM(57,151) = 8607 / 1
LCM(57,151) = 8607
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 3218/57, 7811/151?
Answer: GCF of Numerators as per given numbers 3218/57, 7811/151 is
GCF of Numerators i.e. for 3218,7811 is 1
LCM of denominators i.e. for 57,151 is 8607.
Thus, GCF of Fractions is 1/8607.Finally, GCF of Fractions for 3218/57, 7811/151 is 1/8607.