Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 406/52,568/4980
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 406,568
Greatest Common Factor of Numerators i.e. GCF of 406,568 is 2 .
LCM of Denominators means LCM of 52,4980 as per the given fractions.
LCM of 52,4980 is 64740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 406,568
2 | 406, 568 |
203, 284 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 406,568 . The biggest common factor number is the GCF number.
So the greatest common factor 406,568 is 2.
Lets's calculate LCM of 52,4980
2 | 52, 4980 |
2 | 26, 2490 |
13, 1245 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1245 = 64740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64740
Therefore, the GCF of Fractions 406/52,568/4980 is 2/64740
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 52,4980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,4980) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,4980) x common factors =4 x 1 = 4
LCM(52,4980) = ( 52 × 4980 ) / 4
LCM(52,4980) = 258960 / 4
LCM(52,4980) = 64740
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 406/52, 568/4980?
Answer: GCF of Numerators as per given numbers 406/52, 568/4980 is
GCF of Numerators i.e. for 406,568 is 2
LCM of denominators i.e. for 52,4980 is 64740.
Thus, GCF of Fractions is 2/64740.Finally, GCF of Fractions for 406/52, 568/4980 is 2/64740.