Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/575,487/964,963/787
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 355,487,963
Greatest Common Factor of Numerators i.e. GCF of 355,487,963 is 1 .
LCM of Denominators means LCM of 575,964,787 as per the given fractions.
LCM of 575,964,787 is 436234100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 355,487,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 355,487,963 . The biggest common factor number is the GCF number.
So the greatest common factor 355,487,963 is 1.
Lets's calculate LCM of 575,964,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 436234100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436234100
Therefore, the GCF of Fractions 355/575,487/964,963/787 is 1/436234100
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 575,964,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,964,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,964,787) x common factors =1 x 1 = 1
LCM(575,964,787) = ( 575 × 964 × 787 ) / 1
LCM(575,964,787) = 436234100 / 1
LCM(575,964,787) = 436234100
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 355/575, 487/964, 963/787?
Answer: GCF of Numerators as per given numbers 355/575, 487/964, 963/787 is
GCF of Numerators i.e. for 355,487,963 is 1
LCM of denominators i.e. for 575,964,787 is 436234100.
Thus, GCF of Fractions is 1/436234100.Finally, GCF of Fractions for 355/575, 487/964, 963/787 is 1/436234100.