Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9928/69,6817/552
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 9928,6817
Greatest Common Factor of Numerators i.e. GCF of 9928,6817 is 17 .
LCM of Denominators means LCM of 69,552 as per the given fractions.
LCM of 69,552 is 552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9928,6817
17 | 9928, 6817 |
584, 401 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 9928
List of positive integer factors of 9928 that divides 9928 without a remainder.
1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Factors of 6817
List of positive integer factors of 6817 that divides 6817 without a remainder.
1,17,401,6817
Greatest Common Factor
We found the factors 9928,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 9928,6817 is 17.
Lets's calculate LCM of 69,552
3 | 69, 552 |
23 | 23, 184 |
1, 8 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 8 = 552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/552
Therefore, the GCF of Fractions 9928/69,6817/552 is 17/552
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 69,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,552) = 69
common factors(in case of two or more numbers have common factors) = 1
GCF(69,552) x common factors =69 x 1 = 69
LCM(69,552) = ( 69 × 552 ) / 69
LCM(69,552) = 38088 / 69
LCM(69,552) = 552
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 9928/69, 6817/552?
Answer: GCF of Numerators as per given numbers 9928/69, 6817/552 is
GCF of Numerators i.e. for 9928,6817 is 17
LCM of denominators i.e. for 69,552 is 552.
Thus, GCF of Fractions is 17/552.Finally, GCF of Fractions for 9928/69, 6817/552 is 17/552.