Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 644/671,3722/433
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 644,3722
Greatest Common Factor of Numerators i.e. GCF of 644,3722 is 2 .
LCM of Denominators means LCM of 671,433 as per the given fractions.
LCM of 671,433 is 290543 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 644,3722
2 | 644, 3722 |
322, 1861 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 3722
List of positive integer factors of 3722 that divides 3722 without a remainder.
1,2,1861,3722
Greatest Common Factor
We found the factors 644,3722 . The biggest common factor number is the GCF number.
So the greatest common factor 644,3722 is 2.
Lets's calculate LCM of 671,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 290543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290543
Therefore, the GCF of Fractions 644/671,3722/433 is 2/290543
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 671,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,433) x common factors =1 x 1 = 1
LCM(671,433) = ( 671 × 433 ) / 1
LCM(671,433) = 290543 / 1
LCM(671,433) = 290543
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 644/671, 3722/433?
Answer: GCF of Numerators as per given numbers 644/671, 3722/433 is
GCF of Numerators i.e. for 644,3722 is 2
LCM of denominators i.e. for 671,433 is 290543.
Thus, GCF of Fractions is 2/290543.Finally, GCF of Fractions for 644/671, 3722/433 is 2/290543.