Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/187,8665/633
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 291,8665
Greatest Common Factor of Numerators i.e. GCF of 291,8665 is 1 .
LCM of Denominators means LCM of 187,633 as per the given fractions.
LCM of 187,633 is 118371 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 291,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 8665
List of positive integer factors of 8665 that divides 8665 without a remainder.
1,5,1733,8665
Greatest Common Factor
We found the factors 291,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 291,8665 is 1.
Lets's calculate LCM of 187,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 118371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118371
Therefore, the GCF of Fractions 291/187,8665/633 is 1/118371
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 187,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,633) x common factors =1 x 1 = 1
LCM(187,633) = ( 187 × 633 ) / 1
LCM(187,633) = 118371 / 1
LCM(187,633) = 118371
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 291/187, 8665/633?
Answer: GCF of Numerators as per given numbers 291/187, 8665/633 is
GCF of Numerators i.e. for 291,8665 is 1
LCM of denominators i.e. for 187,633 is 118371.
Thus, GCF of Fractions is 1/118371.Finally, GCF of Fractions for 291/187, 8665/633 is 1/118371.