Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6732/521,7343/533
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 6732,7343
Greatest Common Factor of Numerators i.e. GCF of 6732,7343 is 1 .
LCM of Denominators means LCM of 521,533 as per the given fractions.
LCM of 521,533 is 277693 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6732,7343
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6732
List of positive integer factors of 6732 that divides 6732 without a remainder.
1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Factors of 7343
List of positive integer factors of 7343 that divides 7343 without a remainder.
1,7,1049,7343
Greatest Common Factor
We found the factors 6732,7343 . The biggest common factor number is the GCF number.
So the greatest common factor 6732,7343 is 1.
Lets's calculate LCM of 521,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 277693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277693
Therefore, the GCF of Fractions 6732/521,7343/533 is 1/277693
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 521,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,533) x common factors =1 x 1 = 1
LCM(521,533) = ( 521 × 533 ) / 1
LCM(521,533) = 277693 / 1
LCM(521,533) = 277693
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 6732/521, 7343/533?
Answer: GCF of Numerators as per given numbers 6732/521, 7343/533 is
GCF of Numerators i.e. for 6732,7343 is 1
LCM of denominators i.e. for 521,533 is 277693.
Thus, GCF of Fractions is 1/277693.Finally, GCF of Fractions for 6732/521, 7343/533 is 1/277693.