Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5041/671,2817/4940
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 5041,2817
Greatest Common Factor of Numerators i.e. GCF of 5041,2817 is 1 .
LCM of Denominators means LCM of 671,4940 as per the given fractions.
LCM of 671,4940 is 3314740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5041,2817
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5041
List of positive integer factors of 5041 that divides 5041 without a remainder.
1,71,5041
Factors of 2817
List of positive integer factors of 2817 that divides 2817 without a remainder.
1,3,9,313,939,2817
Greatest Common Factor
We found the factors 5041,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 5041,2817 is 1.
Lets's calculate LCM of 671,4940
Given numbers has no common factors except 1. So, there LCM is their product i.e 3314740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3314740
Therefore, the GCF of Fractions 5041/671,2817/4940 is 1/3314740
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 671,4940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,4940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,4940) x common factors =1 x 1 = 1
LCM(671,4940) = ( 671 × 4940 ) / 1
LCM(671,4940) = 3314740 / 1
LCM(671,4940) = 3314740
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 5041/671, 2817/4940?
Answer: GCF of Numerators as per given numbers 5041/671, 2817/4940 is
GCF of Numerators i.e. for 5041,2817 is 1
LCM of denominators i.e. for 671,4940 is 3314740.
Thus, GCF of Fractions is 1/3314740.Finally, GCF of Fractions for 5041/671, 2817/4940 is 1/3314740.