Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1593/537,3778/812
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 1593,3778
Greatest Common Factor of Numerators i.e. GCF of 1593,3778 is 1 .
LCM of Denominators means LCM of 537,812 as per the given fractions.
LCM of 537,812 is 436044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1593,3778
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1593
List of positive integer factors of 1593 that divides 1593 without a remainder.
1,3,9,27,59,177,531,1593
Factors of 3778
List of positive integer factors of 3778 that divides 3778 without a remainder.
1,2,1889,3778
Greatest Common Factor
We found the factors 1593,3778 . The biggest common factor number is the GCF number.
So the greatest common factor 1593,3778 is 1.
Lets's calculate LCM of 537,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 436044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436044
Therefore, the GCF of Fractions 1593/537,3778/812 is 1/436044
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 537,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,812) x common factors =1 x 1 = 1
LCM(537,812) = ( 537 × 812 ) / 1
LCM(537,812) = 436044 / 1
LCM(537,812) = 436044
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 1593/537, 3778/812?
Answer: GCF of Numerators as per given numbers 1593/537, 3778/812 is
GCF of Numerators i.e. for 1593,3778 is 1
LCM of denominators i.e. for 537,812 is 436044.
Thus, GCF of Fractions is 1/436044.Finally, GCF of Fractions for 1593/537, 3778/812 is 1/436044.