Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2494/12,5662/999
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 2494,5662
Greatest Common Factor of Numerators i.e. GCF of 2494,5662 is 2 .
LCM of Denominators means LCM of 12,999 as per the given fractions.
LCM of 12,999 is 3996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2494,5662
2 | 2494, 5662 |
1247, 2831 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2494
List of positive integer factors of 2494 that divides 2494 without a remainder.
1,2,29,43,58,86,1247,2494
Factors of 5662
List of positive integer factors of 5662 that divides 5662 without a remainder.
1,2,19,38,149,298,2831,5662
Greatest Common Factor
We found the factors 2494,5662 . The biggest common factor number is the GCF number.
So the greatest common factor 2494,5662 is 2.
Lets's calculate LCM of 12,999
3 | 12, 999 |
4, 333 |
∴ So the LCM of the given numbers is 3 x 4 x 333 = 3996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3996
Therefore, the GCF of Fractions 2494/12,5662/999 is 2/3996
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 12,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,999) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,999) x common factors =3 x 1 = 3
LCM(12,999) = ( 12 × 999 ) / 3
LCM(12,999) = 11988 / 3
LCM(12,999) = 3996
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 2494/12, 5662/999?
Answer: GCF of Numerators as per given numbers 2494/12, 5662/999 is
GCF of Numerators i.e. for 2494,5662 is 2
LCM of denominators i.e. for 12,999 is 3996.
Thus, GCF of Fractions is 2/3996.Finally, GCF of Fractions for 2494/12, 5662/999 is 2/3996.