Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/24,911/53,794/881
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 513,911,794
Greatest Common Factor of Numerators i.e. GCF of 513,911,794 is 1 .
LCM of Denominators means LCM of 24,53,881 as per the given fractions.
LCM of 24,53,881 is 1120632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,911,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 513,911,794 . The biggest common factor number is the GCF number.
So the greatest common factor 513,911,794 is 1.
Lets's calculate LCM of 24,53,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 1120632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120632
Therefore, the GCF of Fractions 513/24,911/53,794/881 is 1/1120632
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 24,53,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,53,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,53,881) x common factors =1 x 1 = 1
LCM(24,53,881) = ( 24 × 53 × 881 ) / 1
LCM(24,53,881) = 1120632 / 1
LCM(24,53,881) = 1120632
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 513/24, 911/53, 794/881?
Answer: GCF of Numerators as per given numbers 513/24, 911/53, 794/881 is
GCF of Numerators i.e. for 513,911,794 is 1
LCM of denominators i.e. for 24,53,881 is 1120632.
Thus, GCF of Fractions is 1/1120632.Finally, GCF of Fractions for 513/24, 911/53, 794/881 is 1/1120632.