Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 728/596,6512/6810
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 728,6512
Greatest Common Factor of Numerators i.e. GCF of 728,6512 is 8 .
LCM of Denominators means LCM of 596,6810 as per the given fractions.
LCM of 596,6810 is 2029380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 728,6512
2 | 728, 6512 |
2 | 364, 3256 |
2 | 182, 1628 |
91, 814 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 6512
List of positive integer factors of 6512 that divides 6512 without a remainder.
1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512
Greatest Common Factor
We found the factors 728,6512 . The biggest common factor number is the GCF number.
So the greatest common factor 728,6512 is 8.
Lets's calculate LCM of 596,6810
2 | 596, 6810 |
298, 3405 |
∴ So the LCM of the given numbers is 2 x 298 x 3405 = 2029380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2029380
Therefore, the GCF of Fractions 728/596,6512/6810 is 8/2029380
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 596,6810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,6810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,6810) x common factors =2 x 1 = 2
LCM(596,6810) = ( 596 × 6810 ) / 2
LCM(596,6810) = 4058760 / 2
LCM(596,6810) = 2029380
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 728/596, 6512/6810?
Answer: GCF of Numerators as per given numbers 728/596, 6512/6810 is
GCF of Numerators i.e. for 728,6512 is 8
LCM of denominators i.e. for 596,6810 is 2029380.
Thus, GCF of Fractions is 8/2029380.Finally, GCF of Fractions for 728/596, 6512/6810 is 8/2029380.