Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/362,9173/1125
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 587,9173
Greatest Common Factor of Numerators i.e. GCF of 587,9173 is 1 .
LCM of Denominators means LCM of 362,1125 as per the given fractions.
LCM of 362,1125 is 407250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 587,9173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1,9173
Greatest Common Factor
We found the factors 587,9173 . The biggest common factor number is the GCF number.
So the greatest common factor 587,9173 is 1.
Lets's calculate LCM of 362,1125
Given numbers has no common factors except 1. So, there LCM is their product i.e 407250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407250
Therefore, the GCF of Fractions 587/362,9173/1125 is 1/407250
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 362,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,1125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,1125) x common factors =1 x 1 = 1
LCM(362,1125) = ( 362 × 1125 ) / 1
LCM(362,1125) = 407250 / 1
LCM(362,1125) = 407250
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 587/362, 9173/1125?
Answer: GCF of Numerators as per given numbers 587/362, 9173/1125 is
GCF of Numerators i.e. for 587,9173 is 1
LCM of denominators i.e. for 362,1125 is 407250.
Thus, GCF of Fractions is 1/407250.Finally, GCF of Fractions for 587/362, 9173/1125 is 1/407250.