Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6083/802,7150/2864
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 6083,7150
Greatest Common Factor of Numerators i.e. GCF of 6083,7150 is 11 .
LCM of Denominators means LCM of 802,2864 as per the given fractions.
LCM of 802,2864 is 1148464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6083,7150
11 | 6083, 7150 |
553, 650 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 6083
List of positive integer factors of 6083 that divides 6083 without a remainder.
1,7,11,77,79,553,869,6083
Factors of 7150
List of positive integer factors of 7150 that divides 7150 without a remainder.
1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 6083,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 6083,7150 is 11.
Lets's calculate LCM of 802,2864
2 | 802, 2864 |
401, 1432 |
∴ So the LCM of the given numbers is 2 x 401 x 1432 = 1148464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1148464
Therefore, the GCF of Fractions 6083/802,7150/2864 is 11/1148464
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 802,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,2864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,2864) x common factors =2 x 1 = 2
LCM(802,2864) = ( 802 × 2864 ) / 2
LCM(802,2864) = 2296928 / 2
LCM(802,2864) = 1148464
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 6083/802, 7150/2864?
Answer: GCF of Numerators as per given numbers 6083/802, 7150/2864 is
GCF of Numerators i.e. for 6083,7150 is 11
LCM of denominators i.e. for 802,2864 is 1148464.
Thus, GCF of Fractions is 11/1148464.Finally, GCF of Fractions for 6083/802, 7150/2864 is 11/1148464.