Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5555/950,2175/8793
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 5555,2175
Greatest Common Factor of Numerators i.e. GCF of 5555,2175 is 5 .
LCM of Denominators means LCM of 950,8793 as per the given fractions.
LCM of 950,8793 is 8353350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5555,2175
5 | 5555, 2175 |
1111, 435 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5555
List of positive integer factors of 5555 that divides 5555 without a remainder.
1,5,11,55,101,505,1111,5555
Factors of 2175
List of positive integer factors of 2175 that divides 2175 without a remainder.
1,3,5,15,25,29,75,87,145,435,725,2175
Greatest Common Factor
We found the factors 5555,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 5555,2175 is 5.
Lets's calculate LCM of 950,8793
Given numbers has no common factors except 1. So, there LCM is their product i.e 8353350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8353350
Therefore, the GCF of Fractions 5555/950,2175/8793 is 5/8353350
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 950,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,8793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,8793) x common factors =1 x 1 = 1
LCM(950,8793) = ( 950 × 8793 ) / 1
LCM(950,8793) = 8353350 / 1
LCM(950,8793) = 8353350
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 5555/950, 2175/8793?
Answer: GCF of Numerators as per given numbers 5555/950, 2175/8793 is
GCF of Numerators i.e. for 5555,2175 is 5
LCM of denominators i.e. for 950,8793 is 8353350.
Thus, GCF of Fractions is 5/8353350.Finally, GCF of Fractions for 5555/950, 2175/8793 is 5/8353350.