Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 589/75,722/566
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 589,722
Greatest Common Factor of Numerators i.e. GCF of 589,722 is 19 .
LCM of Denominators means LCM of 75,566 as per the given fractions.
LCM of 75,566 is 42450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 589,722
19 | 589, 722 |
31, 38 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 589,722 . The biggest common factor number is the GCF number.
So the greatest common factor 589,722 is 19.
Lets's calculate LCM of 75,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 42450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/42450
Therefore, the GCF of Fractions 589/75,722/566 is 19/42450
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 75,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,566) x common factors =1 x 1 = 1
LCM(75,566) = ( 75 × 566 ) / 1
LCM(75,566) = 42450 / 1
LCM(75,566) = 42450
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 589/75, 722/566?
Answer: GCF of Numerators as per given numbers 589/75, 722/566 is
GCF of Numerators i.e. for 589,722 is 19
LCM of denominators i.e. for 75,566 is 42450.
Thus, GCF of Fractions is 19/42450.Finally, GCF of Fractions for 589/75, 722/566 is 19/42450.