Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 824/3216,213/1933
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 824,213
Greatest Common Factor of Numerators i.e. GCF of 824,213 is 1 .
LCM of Denominators means LCM of 3216,1933 as per the given fractions.
LCM of 3216,1933 is 6216528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 824,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 824,213 . The biggest common factor number is the GCF number.
So the greatest common factor 824,213 is 1.
Lets's calculate LCM of 3216,1933
Given numbers has no common factors except 1. So, there LCM is their product i.e 6216528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6216528
Therefore, the GCF of Fractions 824/3216,213/1933 is 1/6216528
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 3216,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3216,1933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3216,1933) x common factors =1 x 1 = 1
LCM(3216,1933) = ( 3216 × 1933 ) / 1
LCM(3216,1933) = 6216528 / 1
LCM(3216,1933) = 6216528
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 824/3216, 213/1933?
Answer: GCF of Numerators as per given numbers 824/3216, 213/1933 is
GCF of Numerators i.e. for 824,213 is 1
LCM of denominators i.e. for 3216,1933 is 6216528.
Thus, GCF of Fractions is 1/6216528.Finally, GCF of Fractions for 824/3216, 213/1933 is 1/6216528.