Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6230/763,3284/5999
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 6230,3284
Greatest Common Factor of Numerators i.e. GCF of 6230,3284 is 2 .
LCM of Denominators means LCM of 763,5999 as per the given fractions.
LCM of 763,5999 is 653891 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6230,3284
2 | 6230, 3284 |
3115, 1642 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6230
List of positive integer factors of 6230 that divides 6230 without a remainder.
1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Factors of 3284
List of positive integer factors of 3284 that divides 3284 without a remainder.
1,2,4,821,1642,3284
Greatest Common Factor
We found the factors 6230,3284 . The biggest common factor number is the GCF number.
So the greatest common factor 6230,3284 is 2.
Lets's calculate LCM of 763,5999
7 | 763, 5999 |
109, 857 |
∴ So the LCM of the given numbers is 7 x 109 x 857 = 653891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/653891
Therefore, the GCF of Fractions 6230/763,3284/5999 is 2/653891
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 763,5999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,5999) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(763,5999) x common factors =7 x 1 = 7
LCM(763,5999) = ( 763 × 5999 ) / 7
LCM(763,5999) = 4577237 / 7
LCM(763,5999) = 653891
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 6230/763, 3284/5999?
Answer: GCF of Numerators as per given numbers 6230/763, 3284/5999 is
GCF of Numerators i.e. for 6230,3284 is 2
LCM of denominators i.e. for 763,5999 is 653891.
Thus, GCF of Fractions is 2/653891.Finally, GCF of Fractions for 6230/763, 3284/5999 is 2/653891.