Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 104/207,705/505,746/866
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 104,705,746
Greatest Common Factor of Numerators i.e. GCF of 104,705,746 is 1 .
LCM of Denominators means LCM of 207,505,866 as per the given fractions.
LCM of 207,505,866 is 90527310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 104,705,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 104,705,746 . The biggest common factor number is the GCF number.
So the greatest common factor 104,705,746 is 1.
Lets's calculate LCM of 207,505,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 90527310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90527310
Therefore, the GCF of Fractions 104/207,705/505,746/866 is 1/90527310
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 207,505,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,505,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,505,866) x common factors =1 x 1 = 1
LCM(207,505,866) = ( 207 × 505 × 866 ) / 1
LCM(207,505,866) = 90527310 / 1
LCM(207,505,866) = 90527310
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 104/207, 705/505, 746/866?
Answer: GCF of Numerators as per given numbers 104/207, 705/505, 746/866 is
GCF of Numerators i.e. for 104,705,746 is 1
LCM of denominators i.e. for 207,505,866 is 90527310.
Thus, GCF of Fractions is 1/90527310.Finally, GCF of Fractions for 104/207, 705/505, 746/866 is 1/90527310.