Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 165/88,619/333
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 165,619
Greatest Common Factor of Numerators i.e. GCF of 165,619 is 1 .
LCM of Denominators means LCM of 88,333 as per the given fractions.
LCM of 88,333 is 29304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 165,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 165,619 . The biggest common factor number is the GCF number.
So the greatest common factor 165,619 is 1.
Lets's calculate LCM of 88,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 29304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29304
Therefore, the GCF of Fractions 165/88,619/333 is 1/29304
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 88,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,333) x common factors =1 x 1 = 1
LCM(88,333) = ( 88 × 333 ) / 1
LCM(88,333) = 29304 / 1
LCM(88,333) = 29304
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 165/88, 619/333?
Answer: GCF of Numerators as per given numbers 165/88, 619/333 is
GCF of Numerators i.e. for 165,619 is 1
LCM of denominators i.e. for 88,333 is 29304.
Thus, GCF of Fractions is 1/29304.Finally, GCF of Fractions for 165/88, 619/333 is 1/29304.