Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5249/14,8923/325
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 5249,8923
Greatest Common Factor of Numerators i.e. GCF of 5249,8923 is 1 .
LCM of Denominators means LCM of 14,325 as per the given fractions.
LCM of 14,325 is 4550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5249,8923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5249
List of positive integer factors of 5249 that divides 5249 without a remainder.
1,29,181,5249
Factors of 8923
List of positive integer factors of 8923 that divides 8923 without a remainder.
1,8923
Greatest Common Factor
We found the factors 5249,8923 . The biggest common factor number is the GCF number.
So the greatest common factor 5249,8923 is 1.
Lets's calculate LCM of 14,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 4550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4550
Therefore, the GCF of Fractions 5249/14,8923/325 is 1/4550
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 14,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,325) x common factors =1 x 1 = 1
LCM(14,325) = ( 14 × 325 ) / 1
LCM(14,325) = 4550 / 1
LCM(14,325) = 4550
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 5249/14, 8923/325?
Answer: GCF of Numerators as per given numbers 5249/14, 8923/325 is
GCF of Numerators i.e. for 5249,8923 is 1
LCM of denominators i.e. for 14,325 is 4550.
Thus, GCF of Fractions is 1/4550.Finally, GCF of Fractions for 5249/14, 8923/325 is 1/4550.