Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/50,164/68,496/913
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 555,164,496
Greatest Common Factor of Numerators i.e. GCF of 555,164,496 is 1 .
LCM of Denominators means LCM of 50,68,913 as per the given fractions.
LCM of 50,68,913 is 1552100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 555,164,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 555,164,496 . The biggest common factor number is the GCF number.
So the greatest common factor 555,164,496 is 1.
Lets's calculate LCM of 50,68,913
2 | 50, 68, 913 |
25, 34, 913 |
∴ So the LCM of the given numbers is 2 x 25 x 34 x 913 = 1552100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1552100
Therefore, the GCF of Fractions 555/50,164/68,496/913 is 1/1552100
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 50,68,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,68,913) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,68,913) x common factors =1 x 2 = 2
LCM(50,68,913) = ( 50 × 68 × 913 ) / 2
LCM(50,68,913) = 3104200 / 2
LCM(50,68,913) = 1552100
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 555/50, 164/68, 496/913?
Answer: GCF of Numerators as per given numbers 555/50, 164/68, 496/913 is
GCF of Numerators i.e. for 555,164,496 is 1
LCM of denominators i.e. for 50,68,913 is 1552100.
Thus, GCF of Fractions is 1/1552100.Finally, GCF of Fractions for 555/50, 164/68, 496/913 is 1/1552100.