Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7157/32,4785/231
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 7157,4785
Greatest Common Factor of Numerators i.e. GCF of 7157,4785 is 1 .
LCM of Denominators means LCM of 32,231 as per the given fractions.
LCM of 32,231 is 7392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7157,4785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7157
List of positive integer factors of 7157 that divides 7157 without a remainder.
1,17,421,7157
Factors of 4785
List of positive integer factors of 4785 that divides 4785 without a remainder.
1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785
Greatest Common Factor
We found the factors 7157,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,4785 is 1.
Lets's calculate LCM of 32,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 7392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7392
Therefore, the GCF of Fractions 7157/32,4785/231 is 1/7392
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 32,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,231) x common factors =1 x 1 = 1
LCM(32,231) = ( 32 × 231 ) / 1
LCM(32,231) = 7392 / 1
LCM(32,231) = 7392
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 7157/32, 4785/231?
Answer: GCF of Numerators as per given numbers 7157/32, 4785/231 is
GCF of Numerators i.e. for 7157,4785 is 1
LCM of denominators i.e. for 32,231 is 7392.
Thus, GCF of Fractions is 1/7392.Finally, GCF of Fractions for 7157/32, 4785/231 is 1/7392.