Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9177/182,6060/5084
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 9177,6060
Greatest Common Factor of Numerators i.e. GCF of 9177,6060 is 3 .
LCM of Denominators means LCM of 182,5084 as per the given fractions.
LCM of 182,5084 is 462644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9177,6060
3 | 9177, 6060 |
3059, 2020 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9177
List of positive integer factors of 9177 that divides 9177 without a remainder.
1,3,7,19,21,23,57,69,133,161,399,437,483,1311,3059,9177
Factors of 6060
List of positive integer factors of 6060 that divides 6060 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060
Greatest Common Factor
We found the factors 9177,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 9177,6060 is 3.
Lets's calculate LCM of 182,5084
2 | 182, 5084 |
91, 2542 |
∴ So the LCM of the given numbers is 2 x 91 x 2542 = 462644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/462644
Therefore, the GCF of Fractions 9177/182,6060/5084 is 3/462644
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 182,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,5084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,5084) x common factors =2 x 1 = 2
LCM(182,5084) = ( 182 × 5084 ) / 2
LCM(182,5084) = 925288 / 2
LCM(182,5084) = 462644
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 9177/182, 6060/5084?
Answer: GCF of Numerators as per given numbers 9177/182, 6060/5084 is
GCF of Numerators i.e. for 9177,6060 is 3
LCM of denominators i.e. for 182,5084 is 462644.
Thus, GCF of Fractions is 3/462644.Finally, GCF of Fractions for 9177/182, 6060/5084 is 3/462644.