Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1704/516,5294/8835
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 1704,5294
Greatest Common Factor of Numerators i.e. GCF of 1704,5294 is 2 .
LCM of Denominators means LCM of 516,8835 as per the given fractions.
LCM of 516,8835 is 1519620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1704,5294
2 | 1704, 5294 |
852, 2647 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1704
List of positive integer factors of 1704 that divides 1704 without a remainder.
1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704
Factors of 5294
List of positive integer factors of 5294 that divides 5294 without a remainder.
1,2,2647,5294
Greatest Common Factor
We found the factors 1704,5294 . The biggest common factor number is the GCF number.
So the greatest common factor 1704,5294 is 2.
Lets's calculate LCM of 516,8835
3 | 516, 8835 |
172, 2945 |
∴ So the LCM of the given numbers is 3 x 172 x 2945 = 1519620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1519620
Therefore, the GCF of Fractions 1704/516,5294/8835 is 2/1519620
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 516,8835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,8835) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,8835) x common factors =3 x 1 = 3
LCM(516,8835) = ( 516 × 8835 ) / 3
LCM(516,8835) = 4558860 / 3
LCM(516,8835) = 1519620
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 1704/516, 5294/8835?
Answer: GCF of Numerators as per given numbers 1704/516, 5294/8835 is
GCF of Numerators i.e. for 1704,5294 is 2
LCM of denominators i.e. for 516,8835 is 1519620.
Thus, GCF of Fractions is 2/1519620.Finally, GCF of Fractions for 1704/516, 5294/8835 is 2/1519620.