Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/641,2004/6482
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 56,2004
Greatest Common Factor of Numerators i.e. GCF of 56,2004 is 4 .
LCM of Denominators means LCM of 641,6482 as per the given fractions.
LCM of 641,6482 is 4154962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,2004
2 | 56, 2004 |
2 | 28, 1002 |
14, 501 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 2004
List of positive integer factors of 2004 that divides 2004 without a remainder.
1,2,3,4,6,12,167,334,501,668,1002,2004
Greatest Common Factor
We found the factors 56,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 56,2004 is 4.
Lets's calculate LCM of 641,6482
Given numbers has no common factors except 1. So, there LCM is their product i.e 4154962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4154962
Therefore, the GCF of Fractions 56/641,2004/6482 is 4/4154962
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 641,6482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,6482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,6482) x common factors =1 x 1 = 1
LCM(641,6482) = ( 641 × 6482 ) / 1
LCM(641,6482) = 4154962 / 1
LCM(641,6482) = 4154962
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 56/641, 2004/6482?
Answer: GCF of Numerators as per given numbers 56/641, 2004/6482 is
GCF of Numerators i.e. for 56,2004 is 4
LCM of denominators i.e. for 641,6482 is 4154962.
Thus, GCF of Fractions is 4/4154962.Finally, GCF of Fractions for 56/641, 2004/6482 is 4/4154962.