Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/926,999/906
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 290,999
Greatest Common Factor of Numerators i.e. GCF of 290,999 is 1 .
LCM of Denominators means LCM of 926,906 as per the given fractions.
LCM of 926,906 is 419478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 290,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 290,999 . The biggest common factor number is the GCF number.
So the greatest common factor 290,999 is 1.
Lets's calculate LCM of 926,906
2 | 926, 906 |
463, 453 |
∴ So the LCM of the given numbers is 2 x 463 x 453 = 419478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419478
Therefore, the GCF of Fractions 290/926,999/906 is 1/419478
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 926,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,906) x common factors =2 x 1 = 2
LCM(926,906) = ( 926 × 906 ) / 2
LCM(926,906) = 838956 / 2
LCM(926,906) = 419478
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 290/926, 999/906?
Answer: GCF of Numerators as per given numbers 290/926, 999/906 is
GCF of Numerators i.e. for 290,999 is 1
LCM of denominators i.e. for 926,906 is 419478.
Thus, GCF of Fractions is 1/419478.Finally, GCF of Fractions for 290/926, 999/906 is 1/419478.