Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/17,172/481
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 516,172
Greatest Common Factor of Numerators i.e. GCF of 516,172 is 172 .
LCM of Denominators means LCM of 17,481 as per the given fractions.
LCM of 17,481 is 8177 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,172
2 | 516, 172 |
2 | 258, 86 |
43 | 129, 43 |
3, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 43 = 172
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 516,172 . The biggest common factor number is the GCF number.
So the greatest common factor 516,172 is 172.
Lets's calculate LCM of 17,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 8177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 172/8177
Therefore, the GCF of Fractions 516/17,172/481 is 172/8177
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 17,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,481) x common factors =1 x 1 = 1
LCM(17,481) = ( 17 × 481 ) / 1
LCM(17,481) = 8177 / 1
LCM(17,481) = 8177
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 516/17, 172/481?
Answer: GCF of Numerators as per given numbers 516/17, 172/481 is
GCF of Numerators i.e. for 516,172 is 172
LCM of denominators i.e. for 17,481 is 8177.
Thus, GCF of Fractions is 172/8177.Finally, GCF of Fractions for 516/17, 172/481 is 172/8177.