Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/901,408/687,151/496
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 460,408,151
Greatest Common Factor of Numerators i.e. GCF of 460,408,151 is 1 .
LCM of Denominators means LCM of 901,687,496 as per the given fractions.
LCM of 901,687,496 is 307017552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 460,408,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 460,408,151 . The biggest common factor number is the GCF number.
So the greatest common factor 460,408,151 is 1.
Lets's calculate LCM of 901,687,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 307017552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307017552
Therefore, the GCF of Fractions 460/901,408/687,151/496 is 1/307017552
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 901,687,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,687,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,687,496) x common factors =1 x 1 = 1
LCM(901,687,496) = ( 901 × 687 × 496 ) / 1
LCM(901,687,496) = 307017552 / 1
LCM(901,687,496) = 307017552
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 460/901, 408/687, 151/496?
Answer: GCF of Numerators as per given numbers 460/901, 408/687, 151/496 is
GCF of Numerators i.e. for 460,408,151 is 1
LCM of denominators i.e. for 901,687,496 is 307017552.
Thus, GCF of Fractions is 1/307017552.Finally, GCF of Fractions for 460/901, 408/687, 151/496 is 1/307017552.