Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6594/894,3476/706
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 6594,3476
Greatest Common Factor of Numerators i.e. GCF of 6594,3476 is 2 .
LCM of Denominators means LCM of 894,706 as per the given fractions.
LCM of 894,706 is 315582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6594,3476
2 | 6594, 3476 |
3297, 1738 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6594
List of positive integer factors of 6594 that divides 6594 without a remainder.
1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594
Factors of 3476
List of positive integer factors of 3476 that divides 3476 without a remainder.
1,2,4,11,22,44,79,158,316,869,1738,3476
Greatest Common Factor
We found the factors 6594,3476 . The biggest common factor number is the GCF number.
So the greatest common factor 6594,3476 is 2.
Lets's calculate LCM of 894,706
2 | 894, 706 |
447, 353 |
∴ So the LCM of the given numbers is 2 x 447 x 353 = 315582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/315582
Therefore, the GCF of Fractions 6594/894,3476/706 is 2/315582
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 894,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,706) x common factors =2 x 1 = 2
LCM(894,706) = ( 894 × 706 ) / 2
LCM(894,706) = 631164 / 2
LCM(894,706) = 315582
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 6594/894, 3476/706?
Answer: GCF of Numerators as per given numbers 6594/894, 3476/706 is
GCF of Numerators i.e. for 6594,3476 is 2
LCM of denominators i.e. for 894,706 is 315582.
Thus, GCF of Fractions is 2/315582.Finally, GCF of Fractions for 6594/894, 3476/706 is 2/315582.