Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/677,542/313,641/607
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 720,542,641
Greatest Common Factor of Numerators i.e. GCF of 720,542,641 is 1 .
LCM of Denominators means LCM of 677,313,607 as per the given fractions.
LCM of 677,313,607 is 128623907 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,542,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 720,542,641 . The biggest common factor number is the GCF number.
So the greatest common factor 720,542,641 is 1.
Lets's calculate LCM of 677,313,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 128623907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128623907
Therefore, the GCF of Fractions 720/677,542/313,641/607 is 1/128623907
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 677,313,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,313,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,313,607) x common factors =1 x 1 = 1
LCM(677,313,607) = ( 677 × 313 × 607 ) / 1
LCM(677,313,607) = 128623907 / 1
LCM(677,313,607) = 128623907
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 720/677, 542/313, 641/607?
Answer: GCF of Numerators as per given numbers 720/677, 542/313, 641/607 is
GCF of Numerators i.e. for 720,542,641 is 1
LCM of denominators i.e. for 677,313,607 is 128623907.
Thus, GCF of Fractions is 1/128623907.Finally, GCF of Fractions for 720/677, 542/313, 641/607 is 1/128623907.