Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/42,6387/641
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 481,6387
Greatest Common Factor of Numerators i.e. GCF of 481,6387 is 1 .
LCM of Denominators means LCM of 42,641 as per the given fractions.
LCM of 42,641 is 26922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,6387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 6387
List of positive integer factors of 6387 that divides 6387 without a remainder.
1,3,2129,6387
Greatest Common Factor
We found the factors 481,6387 . The biggest common factor number is the GCF number.
So the greatest common factor 481,6387 is 1.
Lets's calculate LCM of 42,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 26922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26922
Therefore, the GCF of Fractions 481/42,6387/641 is 1/26922
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 42,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,641) x common factors =1 x 1 = 1
LCM(42,641) = ( 42 × 641 ) / 1
LCM(42,641) = 26922 / 1
LCM(42,641) = 26922
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 481/42, 6387/641?
Answer: GCF of Numerators as per given numbers 481/42, 6387/641 is
GCF of Numerators i.e. for 481,6387 is 1
LCM of denominators i.e. for 42,641 is 26922.
Thus, GCF of Fractions is 1/26922.Finally, GCF of Fractions for 481/42, 6387/641 is 1/26922.