Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 415/270,646/355,197/131
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 415,646,197
Greatest Common Factor of Numerators i.e. GCF of 415,646,197 is 1 .
LCM of Denominators means LCM of 270,355,131 as per the given fractions.
LCM of 270,355,131 is 2511270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 415,646,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 415,646,197 . The biggest common factor number is the GCF number.
So the greatest common factor 415,646,197 is 1.
Lets's calculate LCM of 270,355,131
5 | 270, 355, 131 |
54, 71, 131 |
∴ So the LCM of the given numbers is 5 x 54 x 71 x 131 = 2511270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2511270
Therefore, the GCF of Fractions 415/270,646/355,197/131 is 1/2511270
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 270,355,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,355,131) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(270,355,131) x common factors =1 x 5 = 5
LCM(270,355,131) = ( 270 × 355 × 131 ) / 5
LCM(270,355,131) = 12556350 / 5
LCM(270,355,131) = 2511270
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 415/270, 646/355, 197/131?
Answer: GCF of Numerators as per given numbers 415/270, 646/355, 197/131 is
GCF of Numerators i.e. for 415,646,197 is 1
LCM of denominators i.e. for 270,355,131 is 2511270.
Thus, GCF of Fractions is 1/2511270.Finally, GCF of Fractions for 415/270, 646/355, 197/131 is 1/2511270.