Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/71,818/99,600/51
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 5,818,600
Greatest Common Factor of Numerators i.e. GCF of 5,818,600 is 1 .
LCM of Denominators means LCM of 71,99,51 as per the given fractions.
LCM of 71,99,51 is 119493 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,818,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 5,818,600 . The biggest common factor number is the GCF number.
So the greatest common factor 5,818,600 is 1.
Lets's calculate LCM of 71,99,51
3 | 71, 99, 51 |
71, 33, 17 |
∴ So the LCM of the given numbers is 3 x 71 x 33 x 17 = 119493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119493
Therefore, the GCF of Fractions 5/71,818/99,600/51 is 1/119493
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 71,99,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,99,51) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(71,99,51) x common factors =1 x 3 = 3
LCM(71,99,51) = ( 71 × 99 × 51 ) / 3
LCM(71,99,51) = 358479 / 3
LCM(71,99,51) = 119493
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 5/71, 818/99, 600/51?
Answer: GCF of Numerators as per given numbers 5/71, 818/99, 600/51 is
GCF of Numerators i.e. for 5,818,600 is 1
LCM of denominators i.e. for 71,99,51 is 119493.
Thus, GCF of Fractions is 1/119493.Finally, GCF of Fractions for 5/71, 818/99, 600/51 is 1/119493.