Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6531/651,3221/832
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 6531,3221
Greatest Common Factor of Numerators i.e. GCF of 6531,3221 is 1 .
LCM of Denominators means LCM of 651,832 as per the given fractions.
LCM of 651,832 is 541632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6531,3221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6531
List of positive integer factors of 6531 that divides 6531 without a remainder.
1,3,7,21,311,933,2177,6531
Factors of 3221
List of positive integer factors of 3221 that divides 3221 without a remainder.
1,3221
Greatest Common Factor
We found the factors 6531,3221 . The biggest common factor number is the GCF number.
So the greatest common factor 6531,3221 is 1.
Lets's calculate LCM of 651,832
Given numbers has no common factors except 1. So, there LCM is their product i.e 541632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541632
Therefore, the GCF of Fractions 6531/651,3221/832 is 1/541632
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 651,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,832) x common factors =1 x 1 = 1
LCM(651,832) = ( 651 × 832 ) / 1
LCM(651,832) = 541632 / 1
LCM(651,832) = 541632
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 6531/651, 3221/832?
Answer: GCF of Numerators as per given numbers 6531/651, 3221/832 is
GCF of Numerators i.e. for 6531,3221 is 1
LCM of denominators i.e. for 651,832 is 541632.
Thus, GCF of Fractions is 1/541632.Finally, GCF of Fractions for 6531/651, 3221/832 is 1/541632.