Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 647/17,565/98,723/361
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 647,565,723
Greatest Common Factor of Numerators i.e. GCF of 647,565,723 is 1 .
LCM of Denominators means LCM of 17,98,361 as per the given fractions.
LCM of 17,98,361 is 601426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 647,565,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 647,565,723 . The biggest common factor number is the GCF number.
So the greatest common factor 647,565,723 is 1.
Lets's calculate LCM of 17,98,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 601426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601426
Therefore, the GCF of Fractions 647/17,565/98,723/361 is 1/601426
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 17,98,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,98,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,98,361) x common factors =1 x 1 = 1
LCM(17,98,361) = ( 17 × 98 × 361 ) / 1
LCM(17,98,361) = 601426 / 1
LCM(17,98,361) = 601426
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 647/17, 565/98, 723/361?
Answer: GCF of Numerators as per given numbers 647/17, 565/98, 723/361 is
GCF of Numerators i.e. for 647,565,723 is 1
LCM of denominators i.e. for 17,98,361 is 601426.
Thus, GCF of Fractions is 1/601426.Finally, GCF of Fractions for 647/17, 565/98, 723/361 is 1/601426.