Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/519,6126/366
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 990,6126
Greatest Common Factor of Numerators i.e. GCF of 990,6126 is 6 .
LCM of Denominators means LCM of 519,366 as per the given fractions.
LCM of 519,366 is 63318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 990,6126
2 | 990, 6126 |
3 | 495, 3063 |
165, 1021 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 6126
List of positive integer factors of 6126 that divides 6126 without a remainder.
1,2,3,6,1021,2042,3063,6126
Greatest Common Factor
We found the factors 990,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 990,6126 is 6.
Lets's calculate LCM of 519,366
3 | 519, 366 |
173, 122 |
∴ So the LCM of the given numbers is 3 x 173 x 122 = 63318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/63318
Therefore, the GCF of Fractions 990/519,6126/366 is 6/63318
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 519,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,366) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,366) x common factors =3 x 1 = 3
LCM(519,366) = ( 519 × 366 ) / 3
LCM(519,366) = 189954 / 3
LCM(519,366) = 63318
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 990/519, 6126/366?
Answer: GCF of Numerators as per given numbers 990/519, 6126/366 is
GCF of Numerators i.e. for 990,6126 is 6
LCM of denominators i.e. for 519,366 is 63318.
Thus, GCF of Fractions is 6/63318.Finally, GCF of Fractions for 990/519, 6126/366 is 6/63318.