Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/879,6041/6264
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 216,6041
Greatest Common Factor of Numerators i.e. GCF of 216,6041 is 1 .
LCM of Denominators means LCM of 879,6264 as per the given fractions.
LCM of 879,6264 is 1835352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 216,6041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 6041
List of positive integer factors of 6041 that divides 6041 without a remainder.
1,7,863,6041
Greatest Common Factor
We found the factors 216,6041 . The biggest common factor number is the GCF number.
So the greatest common factor 216,6041 is 1.
Lets's calculate LCM of 879,6264
3 | 879, 6264 |
293, 2088 |
∴ So the LCM of the given numbers is 3 x 293 x 2088 = 1835352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1835352
Therefore, the GCF of Fractions 216/879,6041/6264 is 1/1835352
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 879,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,6264) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,6264) x common factors =3 x 1 = 3
LCM(879,6264) = ( 879 × 6264 ) / 3
LCM(879,6264) = 5506056 / 3
LCM(879,6264) = 1835352
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 216/879, 6041/6264?
Answer: GCF of Numerators as per given numbers 216/879, 6041/6264 is
GCF of Numerators i.e. for 216,6041 is 1
LCM of denominators i.e. for 879,6264 is 1835352.
Thus, GCF of Fractions is 1/1835352.Finally, GCF of Fractions for 216/879, 6041/6264 is 1/1835352.