Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4959/558,4947/1327
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 4959,4947
Greatest Common Factor of Numerators i.e. GCF of 4959,4947 is 3 .
LCM of Denominators means LCM of 558,1327 as per the given fractions.
LCM of 558,1327 is 740466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4959,4947
3 | 4959, 4947 |
1653, 1649 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4959
List of positive integer factors of 4959 that divides 4959 without a remainder.
1,3,9,19,29,57,87,171,261,551,1653,4959
Factors of 4947
List of positive integer factors of 4947 that divides 4947 without a remainder.
1,3,17,51,97,291,1649,4947
Greatest Common Factor
We found the factors 4959,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 4959,4947 is 3.
Lets's calculate LCM of 558,1327
Given numbers has no common factors except 1. So, there LCM is their product i.e 740466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/740466
Therefore, the GCF of Fractions 4959/558,4947/1327 is 3/740466
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 558,1327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,1327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,1327) x common factors =1 x 1 = 1
LCM(558,1327) = ( 558 × 1327 ) / 1
LCM(558,1327) = 740466 / 1
LCM(558,1327) = 740466
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 4959/558, 4947/1327?
Answer: GCF of Numerators as per given numbers 4959/558, 4947/1327 is
GCF of Numerators i.e. for 4959,4947 is 3
LCM of denominators i.e. for 558,1327 is 740466.
Thus, GCF of Fractions is 3/740466.Finally, GCF of Fractions for 4959/558, 4947/1327 is 3/740466.