Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1557/261,6620/1113
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 1557,6620
Greatest Common Factor of Numerators i.e. GCF of 1557,6620 is 1 .
LCM of Denominators means LCM of 261,1113 as per the given fractions.
LCM of 261,1113 is 96831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1557,6620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1557
List of positive integer factors of 1557 that divides 1557 without a remainder.
1,3,9,173,519,1557
Factors of 6620
List of positive integer factors of 6620 that divides 6620 without a remainder.
1,2,4,5,10,20,331,662,1324,1655,3310,6620
Greatest Common Factor
We found the factors 1557,6620 . The biggest common factor number is the GCF number.
So the greatest common factor 1557,6620 is 1.
Lets's calculate LCM of 261,1113
3 | 261, 1113 |
87, 371 |
∴ So the LCM of the given numbers is 3 x 87 x 371 = 96831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96831
Therefore, the GCF of Fractions 1557/261,6620/1113 is 1/96831
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 261,1113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,1113) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,1113) x common factors =3 x 1 = 3
LCM(261,1113) = ( 261 × 1113 ) / 3
LCM(261,1113) = 290493 / 3
LCM(261,1113) = 96831
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 1557/261, 6620/1113?
Answer: GCF of Numerators as per given numbers 1557/261, 6620/1113 is
GCF of Numerators i.e. for 1557,6620 is 1
LCM of denominators i.e. for 261,1113 is 96831.
Thus, GCF of Fractions is 1/96831.Finally, GCF of Fractions for 1557/261, 6620/1113 is 1/96831.