Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/83,991/16,124/525
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 513,991,124
Greatest Common Factor of Numerators i.e. GCF of 513,991,124 is 1 .
LCM of Denominators means LCM of 83,16,525 as per the given fractions.
LCM of 83,16,525 is 697200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,991,124
∴ 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 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 513,991,124 . The biggest common factor number is the GCF number.
So the greatest common factor 513,991,124 is 1.
Lets's calculate LCM of 83,16,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 697200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/697200
Therefore, the GCF of Fractions 513/83,991/16,124/525 is 1/697200
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 83,16,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,16,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,16,525) x common factors =1 x 1 = 1
LCM(83,16,525) = ( 83 × 16 × 525 ) / 1
LCM(83,16,525) = 697200 / 1
LCM(83,16,525) = 697200
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 513/83, 991/16, 124/525?
Answer: GCF of Numerators as per given numbers 513/83, 991/16, 124/525 is
GCF of Numerators i.e. for 513,991,124 is 1
LCM of denominators i.e. for 83,16,525 is 697200.
Thus, GCF of Fractions is 1/697200.Finally, GCF of Fractions for 513/83, 991/16, 124/525 is 1/697200.