Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/71,305/32,540/449
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 845,305,540
Greatest Common Factor of Numerators i.e. GCF of 845,305,540 is 5 .
LCM of Denominators means LCM of 71,32,449 as per the given fractions.
LCM of 71,32,449 is 1020128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 845,305,540
5 | 845, 305, 540 |
169, 61, 108 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 845,305,540 . The biggest common factor number is the GCF number.
So the greatest common factor 845,305,540 is 5.
Lets's calculate LCM of 71,32,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 1020128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1020128
Therefore, the GCF of Fractions 845/71,305/32,540/449 is 5/1020128
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 71,32,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,32,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,32,449) x common factors =1 x 1 = 1
LCM(71,32,449) = ( 71 × 32 × 449 ) / 1
LCM(71,32,449) = 1020128 / 1
LCM(71,32,449) = 1020128
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 845/71, 305/32, 540/449?
Answer: GCF of Numerators as per given numbers 845/71, 305/32, 540/449 is
GCF of Numerators i.e. for 845,305,540 is 5
LCM of denominators i.e. for 71,32,449 is 1020128.
Thus, GCF of Fractions is 5/1020128.Finally, GCF of Fractions for 845/71, 305/32, 540/449 is 5/1020128.