Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2314/507,4529/9475
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 2314,4529
Greatest Common Factor of Numerators i.e. GCF of 2314,4529 is 1 .
LCM of Denominators means LCM of 507,9475 as per the given fractions.
LCM of 507,9475 is 4803825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2314,4529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2314
List of positive integer factors of 2314 that divides 2314 without a remainder.
1,2,13,26,89,178,1157,2314
Factors of 4529
List of positive integer factors of 4529 that divides 4529 without a remainder.
1,7,647,4529
Greatest Common Factor
We found the factors 2314,4529 . The biggest common factor number is the GCF number.
So the greatest common factor 2314,4529 is 1.
Lets's calculate LCM of 507,9475
Given numbers has no common factors except 1. So, there LCM is their product i.e 4803825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4803825
Therefore, the GCF of Fractions 2314/507,4529/9475 is 1/4803825
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 507,9475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,9475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,9475) x common factors =1 x 1 = 1
LCM(507,9475) = ( 507 × 9475 ) / 1
LCM(507,9475) = 4803825 / 1
LCM(507,9475) = 4803825
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 2314/507, 4529/9475?
Answer: GCF of Numerators as per given numbers 2314/507, 4529/9475 is
GCF of Numerators i.e. for 2314,4529 is 1
LCM of denominators i.e. for 507,9475 is 4803825.
Thus, GCF of Fractions is 1/4803825.Finally, GCF of Fractions for 2314/507, 4529/9475 is 1/4803825.