Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/885,825/904
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 555,825
Greatest Common Factor of Numerators i.e. GCF of 555,825 is 15 .
LCM of Denominators means LCM of 885,904 as per the given fractions.
LCM of 885,904 is 800040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 555,825
3 | 555, 825 |
5 | 185, 275 |
37, 55 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 555,825 . The biggest common factor number is the GCF number.
So the greatest common factor 555,825 is 15.
Lets's calculate LCM of 885,904
Given numbers has no common factors except 1. So, there LCM is their product i.e 800040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/800040
Therefore, the GCF of Fractions 555/885,825/904 is 15/800040
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 885,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,904) x common factors =1 x 1 = 1
LCM(885,904) = ( 885 × 904 ) / 1
LCM(885,904) = 800040 / 1
LCM(885,904) = 800040
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 555/885, 825/904?
Answer: GCF of Numerators as per given numbers 555/885, 825/904 is
GCF of Numerators i.e. for 555,825 is 15
LCM of denominators i.e. for 885,904 is 800040.
Thus, GCF of Fractions is 15/800040.Finally, GCF of Fractions for 555/885, 825/904 is 15/800040.