Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 172/20,522/50,476/609
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 172,522,476
Greatest Common Factor of Numerators i.e. GCF of 172,522,476 is 2 .
LCM of Denominators means LCM of 20,50,609 as per the given fractions.
LCM of 20,50,609 is 60900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 172,522,476
2 | 172, 522, 476 |
86, 261, 238 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 172,522,476 . The biggest common factor number is the GCF number.
So the greatest common factor 172,522,476 is 2.
Lets's calculate LCM of 20,50,609
2 | 20, 50, 609 |
5 | 10, 25, 609 |
2, 5, 609 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 5 x 609 = 60900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60900
Therefore, the GCF of Fractions 172/20,522/50,476/609 is 2/60900
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 20,50,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,50,609) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(20,50,609) x common factors =1 x 10 = 10
LCM(20,50,609) = ( 20 × 50 × 609 ) / 10
LCM(20,50,609) = 609000 / 10
LCM(20,50,609) = 60900
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 172/20, 522/50, 476/609?
Answer: GCF of Numerators as per given numbers 172/20, 522/50, 476/609 is
GCF of Numerators i.e. for 172,522,476 is 2
LCM of denominators i.e. for 20,50,609 is 60900.
Thus, GCF of Fractions is 2/60900.Finally, GCF of Fractions for 172/20, 522/50, 476/609 is 2/60900.