Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/335,881/924,968/218
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 579,881,968
Greatest Common Factor of Numerators i.e. GCF of 579,881,968 is 1 .
LCM of Denominators means LCM of 335,924,218 as per the given fractions.
LCM of 335,924,218 is 33739860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 579,881,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 579,881,968 . The biggest common factor number is the GCF number.
So the greatest common factor 579,881,968 is 1.
Lets's calculate LCM of 335,924,218
2 | 335, 924, 218 |
335, 462, 109 |
∴ So the LCM of the given numbers is 2 x 335 x 462 x 109 = 33739860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33739860
Therefore, the GCF of Fractions 579/335,881/924,968/218 is 1/33739860
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 335,924,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,924,218) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(335,924,218) x common factors =1 x 2 = 2
LCM(335,924,218) = ( 335 × 924 × 218 ) / 2
LCM(335,924,218) = 67479720 / 2
LCM(335,924,218) = 33739860
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 579/335, 881/924, 968/218?
Answer: GCF of Numerators as per given numbers 579/335, 881/924, 968/218 is
GCF of Numerators i.e. for 579,881,968 is 1
LCM of denominators i.e. for 335,924,218 is 33739860.
Thus, GCF of Fractions is 1/33739860.Finally, GCF of Fractions for 579/335, 881/924, 968/218 is 1/33739860.