Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 405/666,169/522
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 405,169
Greatest Common Factor of Numerators i.e. GCF of 405,169 is 1 .
LCM of Denominators means LCM of 666,522 as per the given fractions.
LCM of 666,522 is 19314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 405,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 405,169 . The biggest common factor number is the GCF number.
So the greatest common factor 405,169 is 1.
Lets's calculate LCM of 666,522
2 | 666, 522 |
3 | 333, 261 |
3 | 111, 87 |
37, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 29 = 19314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19314
Therefore, the GCF of Fractions 405/666,169/522 is 1/19314
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 666,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,522) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(666,522) x common factors =18 x 1 = 18
LCM(666,522) = ( 666 × 522 ) / 18
LCM(666,522) = 347652 / 18
LCM(666,522) = 19314
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 405/666, 169/522?
Answer: GCF of Numerators as per given numbers 405/666, 169/522 is
GCF of Numerators i.e. for 405,169 is 1
LCM of denominators i.e. for 666,522 is 19314.
Thus, GCF of Fractions is 1/19314.Finally, GCF of Fractions for 405/666, 169/522 is 1/19314.