Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/433,535/902,634/932
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 201,535,634
Greatest Common Factor of Numerators i.e. GCF of 201,535,634 is 1 .
LCM of Denominators means LCM of 433,902,932 as per the given fractions.
LCM of 433,902,932 is 182003756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,535,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 201,535,634 . The biggest common factor number is the GCF number.
So the greatest common factor 201,535,634 is 1.
Lets's calculate LCM of 433,902,932
2 | 433, 902, 932 |
433, 451, 466 |
∴ So the LCM of the given numbers is 2 x 433 x 451 x 466 = 182003756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182003756
Therefore, the GCF of Fractions 201/433,535/902,634/932 is 1/182003756
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 433,902,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,902,932) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(433,902,932) x common factors =1 x 2 = 2
LCM(433,902,932) = ( 433 × 902 × 932 ) / 2
LCM(433,902,932) = 364007512 / 2
LCM(433,902,932) = 182003756
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 201/433, 535/902, 634/932?
Answer: GCF of Numerators as per given numbers 201/433, 535/902, 634/932 is
GCF of Numerators i.e. for 201,535,634 is 1
LCM of denominators i.e. for 433,902,932 is 182003756.
Thus, GCF of Fractions is 1/182003756.Finally, GCF of Fractions for 201/433, 535/902, 634/932 is 1/182003756.