Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/498,827/514
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 390,827
Greatest Common Factor of Numerators i.e. GCF of 390,827 is 1 .
LCM of Denominators means LCM of 498,514 as per the given fractions.
LCM of 498,514 is 127986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 390,827 . The biggest common factor number is the GCF number.
So the greatest common factor 390,827 is 1.
Lets's calculate LCM of 498,514
2 | 498, 514 |
249, 257 |
∴ So the LCM of the given numbers is 2 x 249 x 257 = 127986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127986
Therefore, the GCF of Fractions 390/498,827/514 is 1/127986
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 498,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,514) x common factors =2 x 1 = 2
LCM(498,514) = ( 498 × 514 ) / 2
LCM(498,514) = 255972 / 2
LCM(498,514) = 127986
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 390/498, 827/514?
Answer: GCF of Numerators as per given numbers 390/498, 827/514 is
GCF of Numerators i.e. for 390,827 is 1
LCM of denominators i.e. for 498,514 is 127986.
Thus, GCF of Fractions is 1/127986.Finally, GCF of Fractions for 390/498, 827/514 is 1/127986.