Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5526/787,2871/7795
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 5526,2871
Greatest Common Factor of Numerators i.e. GCF of 5526,2871 is 9 .
LCM of Denominators means LCM of 787,7795 as per the given fractions.
LCM of 787,7795 is 6134665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5526,2871
3 | 5526, 2871 |
3 | 1842, 957 |
614, 319 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 5526
List of positive integer factors of 5526 that divides 5526 without a remainder.
1,2,3,6,9,18,307,614,921,1842,2763,5526
Factors of 2871
List of positive integer factors of 2871 that divides 2871 without a remainder.
1,3,9,11,29,33,87,99,261,319,957,2871
Greatest Common Factor
We found the factors 5526,2871 . The biggest common factor number is the GCF number.
So the greatest common factor 5526,2871 is 9.
Lets's calculate LCM of 787,7795
Given numbers has no common factors except 1. So, there LCM is their product i.e 6134665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6134665
Therefore, the GCF of Fractions 5526/787,2871/7795 is 9/6134665
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 787,7795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,7795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,7795) x common factors =1 x 1 = 1
LCM(787,7795) = ( 787 × 7795 ) / 1
LCM(787,7795) = 6134665 / 1
LCM(787,7795) = 6134665
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 5526/787, 2871/7795?
Answer: GCF of Numerators as per given numbers 5526/787, 2871/7795 is
GCF of Numerators i.e. for 5526,2871 is 9
LCM of denominators i.e. for 787,7795 is 6134665.
Thus, GCF of Fractions is 9/6134665.Finally, GCF of Fractions for 5526/787, 2871/7795 is 9/6134665.