Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 314/375,447/552,201/477
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 314,447,201
Greatest Common Factor of Numerators i.e. GCF of 314,447,201 is 1 .
LCM of Denominators means LCM of 375,552,477 as per the given fractions.
LCM of 375,552,477 is 10971000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 314,447,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 314,447,201 . The biggest common factor number is the GCF number.
So the greatest common factor 314,447,201 is 1.
Lets's calculate LCM of 375,552,477
3 | 375, 552, 477 |
125, 184, 159 |
∴ So the LCM of the given numbers is 3 x 125 x 184 x 159 = 10971000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10971000
Therefore, the GCF of Fractions 314/375,447/552,201/477 is 1/10971000
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 375,552,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,552,477) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(375,552,477) x common factors =3 x 3 = 9
LCM(375,552,477) = ( 375 × 552 × 477 ) / 9
LCM(375,552,477) = 98739000 / 9
LCM(375,552,477) = 10971000
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 314/375, 447/552, 201/477?
Answer: GCF of Numerators as per given numbers 314/375, 447/552, 201/477 is
GCF of Numerators i.e. for 314,447,201 is 1
LCM of denominators i.e. for 375,552,477 is 10971000.
Thus, GCF of Fractions is 1/10971000.Finally, GCF of Fractions for 314/375, 447/552, 201/477 is 1/10971000.