Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 871/52,439/28,131/477
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 871,439,131
Greatest Common Factor of Numerators i.e. GCF of 871,439,131 is 1 .
LCM of Denominators means LCM of 52,28,477 as per the given fractions.
LCM of 52,28,477 is 173628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 871,439,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 871,439,131 . The biggest common factor number is the GCF number.
So the greatest common factor 871,439,131 is 1.
Lets's calculate LCM of 52,28,477
2 | 52, 28, 477 |
2 | 26, 14, 477 |
13, 7, 477 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 7 x 477 = 173628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173628
Therefore, the GCF of Fractions 871/52,439/28,131/477 is 1/173628
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 52,28,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,28,477) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,28,477) x common factors =1 x 4 = 4
LCM(52,28,477) = ( 52 × 28 × 477 ) / 4
LCM(52,28,477) = 694512 / 4
LCM(52,28,477) = 173628
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 871/52, 439/28, 131/477?
Answer: GCF of Numerators as per given numbers 871/52, 439/28, 131/477 is
GCF of Numerators i.e. for 871,439,131 is 1
LCM of denominators i.e. for 52,28,477 is 173628.
Thus, GCF of Fractions is 1/173628.Finally, GCF of Fractions for 871/52, 439/28, 131/477 is 1/173628.