Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4779/270,3249/6522
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 4779,3249
Greatest Common Factor of Numerators i.e. GCF of 4779,3249 is 9 .
LCM of Denominators means LCM of 270,6522 as per the given fractions.
LCM of 270,6522 is 293490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4779,3249
3 | 4779, 3249 |
3 | 1593, 1083 |
531, 361 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 4779
List of positive integer factors of 4779 that divides 4779 without a remainder.
1,3,9,27,59,81,177,531,1593,4779
Factors of 3249
List of positive integer factors of 3249 that divides 3249 without a remainder.
1,3,9,19,57,171,361,1083,3249
Greatest Common Factor
We found the factors 4779,3249 . The biggest common factor number is the GCF number.
So the greatest common factor 4779,3249 is 9.
Lets's calculate LCM of 270,6522
2 | 270, 6522 |
3 | 135, 3261 |
45, 1087 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 1087 = 293490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/293490
Therefore, the GCF of Fractions 4779/270,3249/6522 is 9/293490
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 270,6522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,6522) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,6522) x common factors =6 x 1 = 6
LCM(270,6522) = ( 270 × 6522 ) / 6
LCM(270,6522) = 1760940 / 6
LCM(270,6522) = 293490
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 4779/270, 3249/6522?
Answer: GCF of Numerators as per given numbers 4779/270, 3249/6522 is
GCF of Numerators i.e. for 4779,3249 is 9
LCM of denominators i.e. for 270,6522 is 293490.
Thus, GCF of Fractions is 9/293490.Finally, GCF of Fractions for 4779/270, 3249/6522 is 9/293490.