Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4588/73,1251/244
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 4588,1251
Greatest Common Factor of Numerators i.e. GCF of 4588,1251 is 1 .
LCM of Denominators means LCM of 73,244 as per the given fractions.
LCM of 73,244 is 17812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4588,1251
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4588
List of positive integer factors of 4588 that divides 4588 without a remainder.
1,2,4,31,37,62,74,124,148,1147,2294,4588
Factors of 1251
List of positive integer factors of 1251 that divides 1251 without a remainder.
1,3,9,139,417,1251
Greatest Common Factor
We found the factors 4588,1251 . The biggest common factor number is the GCF number.
So the greatest common factor 4588,1251 is 1.
Lets's calculate LCM of 73,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 17812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17812
Therefore, the GCF of Fractions 4588/73,1251/244 is 1/17812
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 73,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,244) x common factors =1 x 1 = 1
LCM(73,244) = ( 73 × 244 ) / 1
LCM(73,244) = 17812 / 1
LCM(73,244) = 17812
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 4588/73, 1251/244?
Answer: GCF of Numerators as per given numbers 4588/73, 1251/244 is
GCF of Numerators i.e. for 4588,1251 is 1
LCM of denominators i.e. for 73,244 is 17812.
Thus, GCF of Fractions is 1/17812.Finally, GCF of Fractions for 4588/73, 1251/244 is 1/17812.