Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4677/446,8556/4866
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 4677,8556
Greatest Common Factor of Numerators i.e. GCF of 4677,8556 is 3 .
LCM of Denominators means LCM of 446,4866 as per the given fractions.
LCM of 446,4866 is 1085118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4677,8556
3 | 4677, 8556 |
1559, 2852 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4677
List of positive integer factors of 4677 that divides 4677 without a remainder.
1,3,1559,4677
Factors of 8556
List of positive integer factors of 8556 that divides 8556 without a remainder.
1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556
Greatest Common Factor
We found the factors 4677,8556 . The biggest common factor number is the GCF number.
So the greatest common factor 4677,8556 is 3.
Lets's calculate LCM of 446,4866
2 | 446, 4866 |
223, 2433 |
∴ So the LCM of the given numbers is 2 x 223 x 2433 = 1085118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1085118
Therefore, the GCF of Fractions 4677/446,8556/4866 is 3/1085118
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 446,4866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,4866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,4866) x common factors =2 x 1 = 2
LCM(446,4866) = ( 446 × 4866 ) / 2
LCM(446,4866) = 2170236 / 2
LCM(446,4866) = 1085118
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 4677/446, 8556/4866?
Answer: GCF of Numerators as per given numbers 4677/446, 8556/4866 is
GCF of Numerators i.e. for 4677,8556 is 3
LCM of denominators i.e. for 446,4866 is 1085118.
Thus, GCF of Fractions is 3/1085118.Finally, GCF of Fractions for 4677/446, 8556/4866 is 3/1085118.