Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6024/27,8072/242
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 6024,8072
Greatest Common Factor of Numerators i.e. GCF of 6024,8072 is 8 .
LCM of Denominators means LCM of 27,242 as per the given fractions.
LCM of 27,242 is 6534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6024,8072
2 | 6024, 8072 |
2 | 3012, 4036 |
2 | 1506, 2018 |
753, 1009 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6024
List of positive integer factors of 6024 that divides 6024 without a remainder.
1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024
Factors of 8072
List of positive integer factors of 8072 that divides 8072 without a remainder.
1,2,4,8,1009,2018,4036,8072
Greatest Common Factor
We found the factors 6024,8072 . The biggest common factor number is the GCF number.
So the greatest common factor 6024,8072 is 8.
Lets's calculate LCM of 27,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 6534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6534
Therefore, the GCF of Fractions 6024/27,8072/242 is 8/6534
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 27,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,242) x common factors =1 x 1 = 1
LCM(27,242) = ( 27 × 242 ) / 1
LCM(27,242) = 6534 / 1
LCM(27,242) = 6534
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 6024/27, 8072/242?
Answer: GCF of Numerators as per given numbers 6024/27, 8072/242 is
GCF of Numerators i.e. for 6024,8072 is 8
LCM of denominators i.e. for 27,242 is 6534.
Thus, GCF of Fractions is 8/6534.Finally, GCF of Fractions for 6024/27, 8072/242 is 8/6534.