Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/487,1087/1993
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 879,1087
Greatest Common Factor of Numerators i.e. GCF of 879,1087 is 1 .
LCM of Denominators means LCM of 487,1993 as per the given fractions.
LCM of 487,1993 is 970591 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,1087
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 1087
List of positive integer factors of 1087 that divides 1087 without a remainder.
1,1087
Greatest Common Factor
We found the factors 879,1087 . The biggest common factor number is the GCF number.
So the greatest common factor 879,1087 is 1.
Lets's calculate LCM of 487,1993
Given numbers has no common factors except 1. So, there LCM is their product i.e 970591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/970591
Therefore, the GCF of Fractions 879/487,1087/1993 is 1/970591
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 487,1993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,1993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,1993) x common factors =1 x 1 = 1
LCM(487,1993) = ( 487 × 1993 ) / 1
LCM(487,1993) = 970591 / 1
LCM(487,1993) = 970591
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 879/487, 1087/1993?
Answer: GCF of Numerators as per given numbers 879/487, 1087/1993 is
GCF of Numerators i.e. for 879,1087 is 1
LCM of denominators i.e. for 487,1993 is 970591.
Thus, GCF of Fractions is 1/970591.Finally, GCF of Fractions for 879/487, 1087/1993 is 1/970591.