Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 801/858,366/581
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 801,366
Greatest Common Factor of Numerators i.e. GCF of 801,366 is 3 .
LCM of Denominators means LCM of 858,581 as per the given fractions.
LCM of 858,581 is 498498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 801,366
3 | 801, 366 |
267, 122 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 801,366 . The biggest common factor number is the GCF number.
So the greatest common factor 801,366 is 3.
Lets's calculate LCM of 858,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 498498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/498498
Therefore, the GCF of Fractions 801/858,366/581 is 3/498498
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 858,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,581) x common factors =1 x 1 = 1
LCM(858,581) = ( 858 × 581 ) / 1
LCM(858,581) = 498498 / 1
LCM(858,581) = 498498
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 801/858, 366/581?
Answer: GCF of Numerators as per given numbers 801/858, 366/581 is
GCF of Numerators i.e. for 801,366 is 3
LCM of denominators i.e. for 858,581 is 498498.
Thus, GCF of Fractions is 3/498498.Finally, GCF of Fractions for 801/858, 366/581 is 3/498498.