Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3246/751,6721/2526
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 3246,6721
Greatest Common Factor of Numerators i.e. GCF of 3246,6721 is 1 .
LCM of Denominators means LCM of 751,2526 as per the given fractions.
LCM of 751,2526 is 1897026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3246,6721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3246
List of positive integer factors of 3246 that divides 3246 without a remainder.
1,2,3,6,541,1082,1623,3246
Factors of 6721
List of positive integer factors of 6721 that divides 6721 without a remainder.
1,11,13,47,143,517,611,6721
Greatest Common Factor
We found the factors 3246,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 3246,6721 is 1.
Lets's calculate LCM of 751,2526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1897026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1897026
Therefore, the GCF of Fractions 3246/751,6721/2526 is 1/1897026
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 751,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,2526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,2526) x common factors =1 x 1 = 1
LCM(751,2526) = ( 751 × 2526 ) / 1
LCM(751,2526) = 1897026 / 1
LCM(751,2526) = 1897026
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 3246/751, 6721/2526?
Answer: GCF of Numerators as per given numbers 3246/751, 6721/2526 is
GCF of Numerators i.e. for 3246,6721 is 1
LCM of denominators i.e. for 751,2526 is 1897026.
Thus, GCF of Fractions is 1/1897026.Finally, GCF of Fractions for 3246/751, 6721/2526 is 1/1897026.