Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5041/91,3031/452
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 5041,3031
Greatest Common Factor of Numerators i.e. GCF of 5041,3031 is 1 .
LCM of Denominators means LCM of 91,452 as per the given fractions.
LCM of 91,452 is 41132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5041,3031
∴ 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 3031
List of positive integer factors of 3031 that divides 3031 without a remainder.
1,7,433,3031
Greatest Common Factor
We found the factors 5041,3031 . The biggest common factor number is the GCF number.
So the greatest common factor 5041,3031 is 1.
Lets's calculate LCM of 91,452
Given numbers has no common factors except 1. So, there LCM is their product i.e 41132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41132
Therefore, the GCF of Fractions 5041/91,3031/452 is 1/41132
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 91,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,452) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,452) x common factors =1 x 1 = 1
LCM(91,452) = ( 91 × 452 ) / 1
LCM(91,452) = 41132 / 1
LCM(91,452) = 41132
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 5041/91, 3031/452?
Answer: GCF of Numerators as per given numbers 5041/91, 3031/452 is
GCF of Numerators i.e. for 5041,3031 is 1
LCM of denominators i.e. for 91,452 is 41132.
Thus, GCF of Fractions is 1/41132.Finally, GCF of Fractions for 5041/91, 3031/452 is 1/41132.