Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/239,9519/492
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 779,9519
Greatest Common Factor of Numerators i.e. GCF of 779,9519 is 19 .
LCM of Denominators means LCM of 239,492 as per the given fractions.
LCM of 239,492 is 117588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,9519
19 | 779, 9519 |
41, 501 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 9519
List of positive integer factors of 9519 that divides 9519 without a remainder.
1,3,19,57,167,501,3173,9519
Greatest Common Factor
We found the factors 779,9519 . The biggest common factor number is the GCF number.
So the greatest common factor 779,9519 is 19.
Lets's calculate LCM of 239,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 117588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/117588
Therefore, the GCF of Fractions 779/239,9519/492 is 19/117588
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 239,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,492) x common factors =1 x 1 = 1
LCM(239,492) = ( 239 × 492 ) / 1
LCM(239,492) = 117588 / 1
LCM(239,492) = 117588
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 779/239, 9519/492?
Answer: GCF of Numerators as per given numbers 779/239, 9519/492 is
GCF of Numerators i.e. for 779,9519 is 19
LCM of denominators i.e. for 239,492 is 117588.
Thus, GCF of Fractions is 19/117588.Finally, GCF of Fractions for 779/239, 9519/492 is 19/117588.