Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 160/86,600/86,523/810
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 160,600,523
Greatest Common Factor of Numerators i.e. GCF of 160,600,523 is 1 .
LCM of Denominators means LCM of 86,86,810 as per the given fractions.
LCM of 86,86,810 is 34830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 160,600,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
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
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 160,600,523 . The biggest common factor number is the GCF number.
So the greatest common factor 160,600,523 is 1.
Lets's calculate LCM of 86,86,810
2 | 86, 86, 810 |
43 | 43, 43, 405 |
1, 1, 405 |
∴ So the LCM of the given numbers is 2 x 43 x 1 x 1 x 405 = 34830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34830
Therefore, the GCF of Fractions 160/86,600/86,523/810 is 1/34830
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 86,86,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,86,810) = 2
common factors(in case of two or more numbers have common factors) = 86
GCF(86,86,810) x common factors =2 x 86 = 172
LCM(86,86,810) = ( 86 × 86 × 810 ) / 172
LCM(86,86,810) = 5990760 / 172
LCM(86,86,810) = 34830
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 160/86, 600/86, 523/810?
Answer: GCF of Numerators as per given numbers 160/86, 600/86, 523/810 is
GCF of Numerators i.e. for 160,600,523 is 1
LCM of denominators i.e. for 86,86,810 is 34830.
Thus, GCF of Fractions is 1/34830.Finally, GCF of Fractions for 160/86, 600/86, 523/810 is 1/34830.