Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/317,6027/8421
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 41,6027
Greatest Common Factor of Numerators i.e. GCF of 41,6027 is 41 .
LCM of Denominators means LCM of 317,8421 as per the given fractions.
LCM of 317,8421 is 2669457 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,6027
41 | 41, 6027 |
1, 147 |
∴ So the GCF of the given numbers is 41 = 41
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 41,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 41,6027 is 41.
Lets's calculate LCM of 317,8421
Given numbers has no common factors except 1. So, there LCM is their product i.e 2669457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2669457
Therefore, the GCF of Fractions 41/317,6027/8421 is 41/2669457
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 317,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,8421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,8421) x common factors =1 x 1 = 1
LCM(317,8421) = ( 317 × 8421 ) / 1
LCM(317,8421) = 2669457 / 1
LCM(317,8421) = 2669457
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 41/317, 6027/8421?
Answer: GCF of Numerators as per given numbers 41/317, 6027/8421 is
GCF of Numerators i.e. for 41,6027 is 41
LCM of denominators i.e. for 317,8421 is 2669457.
Thus, GCF of Fractions is 41/2669457.Finally, GCF of Fractions for 41/317, 6027/8421 is 41/2669457.