Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/66,871/61,485/671
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 355,871,485
Greatest Common Factor of Numerators i.e. GCF of 355,871,485 is 1 .
LCM of Denominators means LCM of 66,61,671 as per the given fractions.
LCM of 66,61,671 is 4026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 355,871,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 355,871,485 . The biggest common factor number is the GCF number.
So the greatest common factor 355,871,485 is 1.
Lets's calculate LCM of 66,61,671
11 | 66, 61, 671 |
61 | 6, 61, 61 |
6, 1, 1 |
∴ So the LCM of the given numbers is 11 x 61 x 6 x 1 x 1 = 4026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4026
Therefore, the GCF of Fractions 355/66,871/61,485/671 is 1/4026
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 66,61,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,61,671) = 1
common factors(in case of two or more numbers have common factors) = 671
GCF(66,61,671) x common factors =1 x 671 = 671
LCM(66,61,671) = ( 66 × 61 × 671 ) / 671
LCM(66,61,671) = 2701446 / 671
LCM(66,61,671) = 4026
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 355/66, 871/61, 485/671?
Answer: GCF of Numerators as per given numbers 355/66, 871/61, 485/671 is
GCF of Numerators i.e. for 355,871,485 is 1
LCM of denominators i.e. for 66,61,671 is 4026.
Thus, GCF of Fractions is 1/4026.Finally, GCF of Fractions for 355/66, 871/61, 485/671 is 1/4026.