Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6084/103,8108/292
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 6084,8108
Greatest Common Factor of Numerators i.e. GCF of 6084,8108 is 4 .
LCM of Denominators means LCM of 103,292 as per the given fractions.
LCM of 103,292 is 30076 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6084,8108
2 | 6084, 8108 |
2 | 3042, 4054 |
1521, 2027 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6084
List of positive integer factors of 6084 that divides 6084 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Factors of 8108
List of positive integer factors of 8108 that divides 8108 without a remainder.
1,2,4,2027,4054,8108
Greatest Common Factor
We found the factors 6084,8108 . The biggest common factor number is the GCF number.
So the greatest common factor 6084,8108 is 4.
Lets's calculate LCM of 103,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 30076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30076
Therefore, the GCF of Fractions 6084/103,8108/292 is 4/30076
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 103,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,292) x common factors =1 x 1 = 1
LCM(103,292) = ( 103 × 292 ) / 1
LCM(103,292) = 30076 / 1
LCM(103,292) = 30076
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 6084/103, 8108/292?
Answer: GCF of Numerators as per given numbers 6084/103, 8108/292 is
GCF of Numerators i.e. for 6084,8108 is 4
LCM of denominators i.e. for 103,292 is 30076.
Thus, GCF of Fractions is 4/30076.Finally, GCF of Fractions for 6084/103, 8108/292 is 4/30076.