Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 883/587,1324/285
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 883,1324
Greatest Common Factor of Numerators i.e. GCF of 883,1324 is 1 .
LCM of Denominators means LCM of 587,285 as per the given fractions.
LCM of 587,285 is 167295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 883,1324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 1324
List of positive integer factors of 1324 that divides 1324 without a remainder.
1,2,4,331,662,1324
Greatest Common Factor
We found the factors 883,1324 . The biggest common factor number is the GCF number.
So the greatest common factor 883,1324 is 1.
Lets's calculate LCM of 587,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 167295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167295
Therefore, the GCF of Fractions 883/587,1324/285 is 1/167295
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 587,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,285) x common factors =1 x 1 = 1
LCM(587,285) = ( 587 × 285 ) / 1
LCM(587,285) = 167295 / 1
LCM(587,285) = 167295
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 883/587, 1324/285?
Answer: GCF of Numerators as per given numbers 883/587, 1324/285 is
GCF of Numerators i.e. for 883,1324 is 1
LCM of denominators i.e. for 587,285 is 167295.
Thus, GCF of Fractions is 1/167295.Finally, GCF of Fractions for 883/587, 1324/285 is 1/167295.