Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/17,484/13,729/52
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 650,484,729
Greatest Common Factor of Numerators i.e. GCF of 650,484,729 is 1 .
LCM of Denominators means LCM of 17,13,52 as per the given fractions.
LCM of 17,13,52 is 884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 650,484,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 650,484,729 . The biggest common factor number is the GCF number.
So the greatest common factor 650,484,729 is 1.
Lets's calculate LCM of 17,13,52
13 | 17, 13, 52 |
17, 1, 4 |
∴ So the LCM of the given numbers is 13 x 17 x 1 x 4 = 884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/884
Therefore, the GCF of Fractions 650/17,484/13,729/52 is 1/884
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 17,13,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,13,52) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(17,13,52) x common factors =1 x 13 = 13
LCM(17,13,52) = ( 17 × 13 × 52 ) / 13
LCM(17,13,52) = 11492 / 13
LCM(17,13,52) = 884
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 650/17, 484/13, 729/52?
Answer: GCF of Numerators as per given numbers 650/17, 484/13, 729/52 is
GCF of Numerators i.e. for 650,484,729 is 1
LCM of denominators i.e. for 17,13,52 is 884.
Thus, GCF of Fractions is 1/884.Finally, GCF of Fractions for 650/17, 484/13, 729/52 is 1/884.