Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5945/209,8190/867
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 5945,8190
Greatest Common Factor of Numerators i.e. GCF of 5945,8190 is 5 .
LCM of Denominators means LCM of 209,867 as per the given fractions.
LCM of 209,867 is 181203 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5945,8190
5 | 5945, 8190 |
1189, 1638 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1,5,29,41,145,205,1189,5945
Factors of 8190
List of positive integer factors of 8190 that divides 8190 without a remainder.
1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Greatest Common Factor
We found the factors 5945,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 5945,8190 is 5.
Lets's calculate LCM of 209,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 181203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/181203
Therefore, the GCF of Fractions 5945/209,8190/867 is 5/181203
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 209,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,867) x common factors =1 x 1 = 1
LCM(209,867) = ( 209 × 867 ) / 1
LCM(209,867) = 181203 / 1
LCM(209,867) = 181203
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 5945/209, 8190/867?
Answer: GCF of Numerators as per given numbers 5945/209, 8190/867 is
GCF of Numerators i.e. for 5945,8190 is 5
LCM of denominators i.e. for 209,867 is 181203.
Thus, GCF of Fractions is 5/181203.Finally, GCF of Fractions for 5945/209, 8190/867 is 5/181203.