Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2715/496,3305/6889
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 2715,3305
Greatest Common Factor of Numerators i.e. GCF of 2715,3305 is 5 .
LCM of Denominators means LCM of 496,6889 as per the given fractions.
LCM of 496,6889 is 3416944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2715,3305
5 | 2715, 3305 |
543, 661 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2715
List of positive integer factors of 2715 that divides 2715 without a remainder.
1,3,5,15,181,543,905,2715
Factors of 3305
List of positive integer factors of 3305 that divides 3305 without a remainder.
1,5,661,3305
Greatest Common Factor
We found the factors 2715,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 2715,3305 is 5.
Lets's calculate LCM of 496,6889
Given numbers has no common factors except 1. So, there LCM is their product i.e 3416944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3416944
Therefore, the GCF of Fractions 2715/496,3305/6889 is 5/3416944
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 496,6889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,6889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,6889) x common factors =1 x 1 = 1
LCM(496,6889) = ( 496 × 6889 ) / 1
LCM(496,6889) = 3416944 / 1
LCM(496,6889) = 3416944
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 2715/496, 3305/6889?
Answer: GCF of Numerators as per given numbers 2715/496, 3305/6889 is
GCF of Numerators i.e. for 2715,3305 is 5
LCM of denominators i.e. for 496,6889 is 3416944.
Thus, GCF of Fractions is 5/3416944.Finally, GCF of Fractions for 2715/496, 3305/6889 is 5/3416944.