Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3848/91,6529/739
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 3848,6529
Greatest Common Factor of Numerators i.e. GCF of 3848,6529 is 1 .
LCM of Denominators means LCM of 91,739 as per the given fractions.
LCM of 91,739 is 67249 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3848,6529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3848
List of positive integer factors of 3848 that divides 3848 without a remainder.
1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848
Factors of 6529
List of positive integer factors of 6529 that divides 6529 without a remainder.
1,6529
Greatest Common Factor
We found the factors 3848,6529 . The biggest common factor number is the GCF number.
So the greatest common factor 3848,6529 is 1.
Lets's calculate LCM of 91,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 67249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67249
Therefore, the GCF of Fractions 3848/91,6529/739 is 1/67249
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 91,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,739) x common factors =1 x 1 = 1
LCM(91,739) = ( 91 × 739 ) / 1
LCM(91,739) = 67249 / 1
LCM(91,739) = 67249
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 3848/91, 6529/739?
Answer: GCF of Numerators as per given numbers 3848/91, 6529/739 is
GCF of Numerators i.e. for 3848,6529 is 1
LCM of denominators i.e. for 91,739 is 67249.
Thus, GCF of Fractions is 1/67249.Finally, GCF of Fractions for 3848/91, 6529/739 is 1/67249.