Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/458,545/463,172/314
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 375,545,172
Greatest Common Factor of Numerators i.e. GCF of 375,545,172 is 1 .
LCM of Denominators means LCM of 458,463,314 as per the given fractions.
LCM of 458,463,314 is 33292478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 375,545,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 375,545,172 . The biggest common factor number is the GCF number.
So the greatest common factor 375,545,172 is 1.
Lets's calculate LCM of 458,463,314
2 | 458, 463, 314 |
229, 463, 157 |
∴ So the LCM of the given numbers is 2 x 229 x 463 x 157 = 33292478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33292478
Therefore, the GCF of Fractions 375/458,545/463,172/314 is 1/33292478
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 458,463,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,463,314) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(458,463,314) x common factors =1 x 2 = 2
LCM(458,463,314) = ( 458 × 463 × 314 ) / 2
LCM(458,463,314) = 66584956 / 2
LCM(458,463,314) = 33292478
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 375/458, 545/463, 172/314?
Answer: GCF of Numerators as per given numbers 375/458, 545/463, 172/314 is
GCF of Numerators i.e. for 375,545,172 is 1
LCM of denominators i.e. for 458,463,314 is 33292478.
Thus, GCF of Fractions is 1/33292478.Finally, GCF of Fractions for 375/458, 545/463, 172/314 is 1/33292478.