Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 774/25,999/33,716/47
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 774,999,716
Greatest Common Factor of Numerators i.e. GCF of 774,999,716 is 1 .
LCM of Denominators means LCM of 25,33,47 as per the given fractions.
LCM of 25,33,47 is 38775 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 774,999,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 774,999,716 . The biggest common factor number is the GCF number.
So the greatest common factor 774,999,716 is 1.
Lets's calculate LCM of 25,33,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 38775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38775
Therefore, the GCF of Fractions 774/25,999/33,716/47 is 1/38775
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 25,33,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,33,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,33,47) x common factors =1 x 1 = 1
LCM(25,33,47) = ( 25 × 33 × 47 ) / 1
LCM(25,33,47) = 38775 / 1
LCM(25,33,47) = 38775
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 774/25, 999/33, 716/47?
Answer: GCF of Numerators as per given numbers 774/25, 999/33, 716/47 is
GCF of Numerators i.e. for 774,999,716 is 1
LCM of denominators i.e. for 25,33,47 is 38775.
Thus, GCF of Fractions is 1/38775.Finally, GCF of Fractions for 774/25, 999/33, 716/47 is 1/38775.