Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/215,5382/1777
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 605,5382
Greatest Common Factor of Numerators i.e. GCF of 605,5382 is 1 .
LCM of Denominators means LCM of 215,1777 as per the given fractions.
LCM of 215,1777 is 382055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,5382
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 5382
List of positive integer factors of 5382 that divides 5382 without a remainder.
1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 605,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 605,5382 is 1.
Lets's calculate LCM of 215,1777
Given numbers has no common factors except 1. So, there LCM is their product i.e 382055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382055
Therefore, the GCF of Fractions 605/215,5382/1777 is 1/382055
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 215,1777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,1777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,1777) x common factors =1 x 1 = 1
LCM(215,1777) = ( 215 × 1777 ) / 1
LCM(215,1777) = 382055 / 1
LCM(215,1777) = 382055
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 605/215, 5382/1777?
Answer: GCF of Numerators as per given numbers 605/215, 5382/1777 is
GCF of Numerators i.e. for 605,5382 is 1
LCM of denominators i.e. for 215,1777 is 382055.
Thus, GCF of Fractions is 1/382055.Finally, GCF of Fractions for 605/215, 5382/1777 is 1/382055.