Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2666/483,8788/858
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 2666,8788
Greatest Common Factor of Numerators i.e. GCF of 2666,8788 is 2 .
LCM of Denominators means LCM of 483,858 as per the given fractions.
LCM of 483,858 is 138138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2666,8788
2 | 2666, 8788 |
1333, 4394 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2666
List of positive integer factors of 2666 that divides 2666 without a remainder.
1,2,31,43,62,86,1333,2666
Factors of 8788
List of positive integer factors of 8788 that divides 8788 without a remainder.
1,2,4,13,26,52,169,338,676,2197,4394,8788
Greatest Common Factor
We found the factors 2666,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 2666,8788 is 2.
Lets's calculate LCM of 483,858
3 | 483, 858 |
161, 286 |
∴ So the LCM of the given numbers is 3 x 161 x 286 = 138138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138138
Therefore, the GCF of Fractions 2666/483,8788/858 is 2/138138
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 483,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,858) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,858) x common factors =3 x 1 = 3
LCM(483,858) = ( 483 × 858 ) / 3
LCM(483,858) = 414414 / 3
LCM(483,858) = 138138
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 2666/483, 8788/858?
Answer: GCF of Numerators as per given numbers 2666/483, 8788/858 is
GCF of Numerators i.e. for 2666,8788 is 2
LCM of denominators i.e. for 483,858 is 138138.
Thus, GCF of Fractions is 2/138138.Finally, GCF of Fractions for 2666/483, 8788/858 is 2/138138.