Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/68,661/29,160/741
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 489,661,160
Greatest Common Factor of Numerators i.e. GCF of 489,661,160 is 1 .
LCM of Denominators means LCM of 68,29,741 as per the given fractions.
LCM of 68,29,741 is 1461252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 489,661,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
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
Greatest Common Factor
We found the factors 489,661,160 . The biggest common factor number is the GCF number.
So the greatest common factor 489,661,160 is 1.
Lets's calculate LCM of 68,29,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 1461252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1461252
Therefore, the GCF of Fractions 489/68,661/29,160/741 is 1/1461252
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 68,29,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,29,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,29,741) x common factors =1 x 1 = 1
LCM(68,29,741) = ( 68 × 29 × 741 ) / 1
LCM(68,29,741) = 1461252 / 1
LCM(68,29,741) = 1461252
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 489/68, 661/29, 160/741?
Answer: GCF of Numerators as per given numbers 489/68, 661/29, 160/741 is
GCF of Numerators i.e. for 489,661,160 is 1
LCM of denominators i.e. for 68,29,741 is 1461252.
Thus, GCF of Fractions is 1/1461252.Finally, GCF of Fractions for 489/68, 661/29, 160/741 is 1/1461252.