Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9518/545,1039/3487
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 9518,1039
Greatest Common Factor of Numerators i.e. GCF of 9518,1039 is 1 .
LCM of Denominators means LCM of 545,3487 as per the given fractions.
LCM of 545,3487 is 1900415 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9518,1039
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9518
List of positive integer factors of 9518 that divides 9518 without a remainder.
1,2,4759,9518
Factors of 1039
List of positive integer factors of 1039 that divides 1039 without a remainder.
1,1039
Greatest Common Factor
We found the factors 9518,1039 . The biggest common factor number is the GCF number.
So the greatest common factor 9518,1039 is 1.
Lets's calculate LCM of 545,3487
Given numbers has no common factors except 1. So, there LCM is their product i.e 1900415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1900415
Therefore, the GCF of Fractions 9518/545,1039/3487 is 1/1900415
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 545,3487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,3487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,3487) x common factors =1 x 1 = 1
LCM(545,3487) = ( 545 × 3487 ) / 1
LCM(545,3487) = 1900415 / 1
LCM(545,3487) = 1900415
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 9518/545, 1039/3487?
Answer: GCF of Numerators as per given numbers 9518/545, 1039/3487 is
GCF of Numerators i.e. for 9518,1039 is 1
LCM of denominators i.e. for 545,3487 is 1900415.
Thus, GCF of Fractions is 1/1900415.Finally, GCF of Fractions for 9518/545, 1039/3487 is 1/1900415.