Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5049/97,8547/996
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 5049,8547
Greatest Common Factor of Numerators i.e. GCF of 5049,8547 is 33 .
LCM of Denominators means LCM of 97,996 as per the given fractions.
LCM of 97,996 is 96612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5049,8547
3 | 5049, 8547 |
11 | 1683, 2849 |
153, 259 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 5049
List of positive integer factors of 5049 that divides 5049 without a remainder.
1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Factors of 8547
List of positive integer factors of 8547 that divides 8547 without a remainder.
1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Greatest Common Factor
We found the factors 5049,8547 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,8547 is 33.
Lets's calculate LCM of 97,996
Given numbers has no common factors except 1. So, there LCM is their product i.e 96612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/96612
Therefore, the GCF of Fractions 5049/97,8547/996 is 33/96612
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 97,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,996) x common factors =1 x 1 = 1
LCM(97,996) = ( 97 × 996 ) / 1
LCM(97,996) = 96612 / 1
LCM(97,996) = 96612
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 5049/97, 8547/996?
Answer: GCF of Numerators as per given numbers 5049/97, 8547/996 is
GCF of Numerators i.e. for 5049,8547 is 33
LCM of denominators i.e. for 97,996 is 96612.
Thus, GCF of Fractions is 33/96612.Finally, GCF of Fractions for 5049/97, 8547/996 is 33/96612.