Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 577/167,3517/3535
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 577,3517
Greatest Common Factor of Numerators i.e. GCF of 577,3517 is 1 .
LCM of Denominators means LCM of 167,3535 as per the given fractions.
LCM of 167,3535 is 590345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 577,3517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 3517
List of positive integer factors of 3517 that divides 3517 without a remainder.
1,3517
Greatest Common Factor
We found the factors 577,3517 . The biggest common factor number is the GCF number.
So the greatest common factor 577,3517 is 1.
Lets's calculate LCM of 167,3535
Given numbers has no common factors except 1. So, there LCM is their product i.e 590345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590345
Therefore, the GCF of Fractions 577/167,3517/3535 is 1/590345
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 167,3535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,3535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,3535) x common factors =1 x 1 = 1
LCM(167,3535) = ( 167 × 3535 ) / 1
LCM(167,3535) = 590345 / 1
LCM(167,3535) = 590345
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 577/167, 3517/3535?
Answer: GCF of Numerators as per given numbers 577/167, 3517/3535 is
GCF of Numerators i.e. for 577,3517 is 1
LCM of denominators i.e. for 167,3535 is 590345.
Thus, GCF of Fractions is 1/590345.Finally, GCF of Fractions for 577/167, 3517/3535 is 1/590345.