Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5478/188,8561/6012
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 5478,8561
Greatest Common Factor of Numerators i.e. GCF of 5478,8561 is 1 .
LCM of Denominators means LCM of 188,6012 as per the given fractions.
LCM of 188,6012 is 282564 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5478,8561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5478
List of positive integer factors of 5478 that divides 5478 without a remainder.
1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478
Factors of 8561
List of positive integer factors of 8561 that divides 8561 without a remainder.
1,7,1223,8561
Greatest Common Factor
We found the factors 5478,8561 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,8561 is 1.
Lets's calculate LCM of 188,6012
2 | 188, 6012 |
2 | 94, 3006 |
47, 1503 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 1503 = 282564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282564
Therefore, the GCF of Fractions 5478/188,8561/6012 is 1/282564
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 188,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,6012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,6012) x common factors =4 x 1 = 4
LCM(188,6012) = ( 188 × 6012 ) / 4
LCM(188,6012) = 1130256 / 4
LCM(188,6012) = 282564
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 5478/188, 8561/6012?
Answer: GCF of Numerators as per given numbers 5478/188, 8561/6012 is
GCF of Numerators i.e. for 5478,8561 is 1
LCM of denominators i.e. for 188,6012 is 282564.
Thus, GCF of Fractions is 1/282564.Finally, GCF of Fractions for 5478/188, 8561/6012 is 1/282564.