Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/631,895/883,965/973
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 813,895,965
Greatest Common Factor of Numerators i.e. GCF of 813,895,965 is 1 .
LCM of Denominators means LCM of 631,883,973 as per the given fractions.
LCM of 631,883,973 is 542129329 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 813,895,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 813,895,965 . The biggest common factor number is the GCF number.
So the greatest common factor 813,895,965 is 1.
Lets's calculate LCM of 631,883,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 542129329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542129329
Therefore, the GCF of Fractions 813/631,895/883,965/973 is 1/542129329
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 631,883,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,883,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,883,973) x common factors =1 x 1 = 1
LCM(631,883,973) = ( 631 × 883 × 973 ) / 1
LCM(631,883,973) = 542129329 / 1
LCM(631,883,973) = 542129329
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 813/631, 895/883, 965/973?
Answer: GCF of Numerators as per given numbers 813/631, 895/883, 965/973 is
GCF of Numerators i.e. for 813,895,965 is 1
LCM of denominators i.e. for 631,883,973 is 542129329.
Thus, GCF of Fractions is 1/542129329.Finally, GCF of Fractions for 813/631, 895/883, 965/973 is 1/542129329.