Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/4093,828/1335
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 510,828
Greatest Common Factor of Numerators i.e. GCF of 510,828 is 6 .
LCM of Denominators means LCM of 4093,1335 as per the given fractions.
LCM of 4093,1335 is 5464155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,828
2 | 510, 828 |
3 | 255, 414 |
85, 138 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 510,828 . The biggest common factor number is the GCF number.
So the greatest common factor 510,828 is 6.
Lets's calculate LCM of 4093,1335
Given numbers has no common factors except 1. So, there LCM is their product i.e 5464155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5464155
Therefore, the GCF of Fractions 510/4093,828/1335 is 6/5464155
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 4093,1335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4093,1335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4093,1335) x common factors =1 x 1 = 1
LCM(4093,1335) = ( 4093 × 1335 ) / 1
LCM(4093,1335) = 5464155 / 1
LCM(4093,1335) = 5464155
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 510/4093, 828/1335?
Answer: GCF of Numerators as per given numbers 510/4093, 828/1335 is
GCF of Numerators i.e. for 510,828 is 6
LCM of denominators i.e. for 4093,1335 is 5464155.
Thus, GCF of Fractions is 6/5464155.Finally, GCF of Fractions for 510/4093, 828/1335 is 6/5464155.