Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 586/110,2820/999
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 586,2820
Greatest Common Factor of Numerators i.e. GCF of 586,2820 is 2 .
LCM of Denominators means LCM of 110,999 as per the given fractions.
LCM of 110,999 is 109890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 586,2820
2 | 586, 2820 |
293, 1410 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 2820
List of positive integer factors of 2820 that divides 2820 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 586,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 586,2820 is 2.
Lets's calculate LCM of 110,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 109890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109890
Therefore, the GCF of Fractions 586/110,2820/999 is 2/109890
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 110,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,999) x common factors =1 x 1 = 1
LCM(110,999) = ( 110 × 999 ) / 1
LCM(110,999) = 109890 / 1
LCM(110,999) = 109890
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 586/110, 2820/999?
Answer: GCF of Numerators as per given numbers 586/110, 2820/999 is
GCF of Numerators i.e. for 586,2820 is 2
LCM of denominators i.e. for 110,999 is 109890.
Thus, GCF of Fractions is 2/109890.Finally, GCF of Fractions for 586/110, 2820/999 is 2/109890.