Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5547/180,2799/9827
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 5547,2799
Greatest Common Factor of Numerators i.e. GCF of 5547,2799 is 3 .
LCM of Denominators means LCM of 180,9827 as per the given fractions.
LCM of 180,9827 is 1768860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5547,2799
3 | 5547, 2799 |
1849, 933 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5547
List of positive integer factors of 5547 that divides 5547 without a remainder.
1,3,43,129,1849,5547
Factors of 2799
List of positive integer factors of 2799 that divides 2799 without a remainder.
1,3,9,311,933,2799
Greatest Common Factor
We found the factors 5547,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 5547,2799 is 3.
Lets's calculate LCM of 180,9827
Given numbers has no common factors except 1. So, there LCM is their product i.e 1768860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1768860
Therefore, the GCF of Fractions 5547/180,2799/9827 is 3/1768860
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 180,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,9827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,9827) x common factors =1 x 1 = 1
LCM(180,9827) = ( 180 × 9827 ) / 1
LCM(180,9827) = 1768860 / 1
LCM(180,9827) = 1768860
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 5547/180, 2799/9827?
Answer: GCF of Numerators as per given numbers 5547/180, 2799/9827 is
GCF of Numerators i.e. for 5547,2799 is 3
LCM of denominators i.e. for 180,9827 is 1768860.
Thus, GCF of Fractions is 3/1768860.Finally, GCF of Fractions for 5547/180, 2799/9827 is 3/1768860.