Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3973/562,9435/4387
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 3973,9435
Greatest Common Factor of Numerators i.e. GCF of 3973,9435 is 1 .
LCM of Denominators means LCM of 562,4387 as per the given fractions.
LCM of 562,4387 is 2465494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3973,9435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3973
List of positive integer factors of 3973 that divides 3973 without a remainder.
1,29,137,3973
Factors of 9435
List of positive integer factors of 9435 that divides 9435 without a remainder.
1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Greatest Common Factor
We found the factors 3973,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 3973,9435 is 1.
Lets's calculate LCM of 562,4387
Given numbers has no common factors except 1. So, there LCM is their product i.e 2465494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2465494
Therefore, the GCF of Fractions 3973/562,9435/4387 is 1/2465494
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 562,4387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,4387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,4387) x common factors =1 x 1 = 1
LCM(562,4387) = ( 562 × 4387 ) / 1
LCM(562,4387) = 2465494 / 1
LCM(562,4387) = 2465494
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 3973/562, 9435/4387?
Answer: GCF of Numerators as per given numbers 3973/562, 9435/4387 is
GCF of Numerators i.e. for 3973,9435 is 1
LCM of denominators i.e. for 562,4387 is 2465494.
Thus, GCF of Fractions is 1/2465494.Finally, GCF of Fractions for 3973/562, 9435/4387 is 1/2465494.