Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 175/81,593/14,300/583
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 175,593,300
Greatest Common Factor of Numerators i.e. GCF of 175,593,300 is 1 .
LCM of Denominators means LCM of 81,14,583 as per the given fractions.
LCM of 81,14,583 is 661122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 175,593,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 175,593,300 . The biggest common factor number is the GCF number.
So the greatest common factor 175,593,300 is 1.
Lets's calculate LCM of 81,14,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 661122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661122
Therefore, the GCF of Fractions 175/81,593/14,300/583 is 1/661122
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 81,14,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,14,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,14,583) x common factors =1 x 1 = 1
LCM(81,14,583) = ( 81 × 14 × 583 ) / 1
LCM(81,14,583) = 661122 / 1
LCM(81,14,583) = 661122
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 175/81, 593/14, 300/583?
Answer: GCF of Numerators as per given numbers 175/81, 593/14, 300/583 is
GCF of Numerators i.e. for 175,593,300 is 1
LCM of denominators i.e. for 81,14,583 is 661122.
Thus, GCF of Fractions is 1/661122.Finally, GCF of Fractions for 175/81, 593/14, 300/583 is 1/661122.