Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 614/349,839/497,617/965
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 614,839,617
Greatest Common Factor of Numerators i.e. GCF of 614,839,617 is 1 .
LCM of Denominators means LCM of 349,497,965 as per the given fractions.
LCM of 349,497,965 is 167382145 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 614,839,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 614,839,617 . The biggest common factor number is the GCF number.
So the greatest common factor 614,839,617 is 1.
Lets's calculate LCM of 349,497,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 167382145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167382145
Therefore, the GCF of Fractions 614/349,839/497,617/965 is 1/167382145
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 349,497,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,497,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,497,965) x common factors =1 x 1 = 1
LCM(349,497,965) = ( 349 × 497 × 965 ) / 1
LCM(349,497,965) = 167382145 / 1
LCM(349,497,965) = 167382145
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 614/349, 839/497, 617/965?
Answer: GCF of Numerators as per given numbers 614/349, 839/497, 617/965 is
GCF of Numerators i.e. for 614,839,617 is 1
LCM of denominators i.e. for 349,497,965 is 167382145.
Thus, GCF of Fractions is 1/167382145.Finally, GCF of Fractions for 614/349, 839/497, 617/965 is 1/167382145.