Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 413/529,6996/736
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 413,6996
Greatest Common Factor of Numerators i.e. GCF of 413,6996 is 1 .
LCM of Denominators means LCM of 529,736 as per the given fractions.
LCM of 529,736 is 16928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 413,6996
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 6996
List of positive integer factors of 6996 that divides 6996 without a remainder.
1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 413,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 413,6996 is 1.
Lets's calculate LCM of 529,736
23 | 529, 736 |
23, 32 |
∴ So the LCM of the given numbers is 23 x 23 x 32 = 16928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16928
Therefore, the GCF of Fractions 413/529,6996/736 is 1/16928
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 529,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,736) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,736) x common factors =23 x 1 = 23
LCM(529,736) = ( 529 × 736 ) / 23
LCM(529,736) = 389344 / 23
LCM(529,736) = 16928
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 413/529, 6996/736?
Answer: GCF of Numerators as per given numbers 413/529, 6996/736 is
GCF of Numerators i.e. for 413,6996 is 1
LCM of denominators i.e. for 529,736 is 16928.
Thus, GCF of Fractions is 1/16928.Finally, GCF of Fractions for 413/529, 6996/736 is 1/16928.