Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/451,772/450,369/857
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 66,772,369
Greatest Common Factor of Numerators i.e. GCF of 66,772,369 is 1 .
LCM of Denominators means LCM of 451,450,857 as per the given fractions.
LCM of 451,450,857 is 173928150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,772,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 66,772,369 . The biggest common factor number is the GCF number.
So the greatest common factor 66,772,369 is 1.
Lets's calculate LCM of 451,450,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 173928150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173928150
Therefore, the GCF of Fractions 66/451,772/450,369/857 is 1/173928150
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 451,450,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,450,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,450,857) x common factors =1 x 1 = 1
LCM(451,450,857) = ( 451 × 450 × 857 ) / 1
LCM(451,450,857) = 173928150 / 1
LCM(451,450,857) = 173928150
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 66/451, 772/450, 369/857?
Answer: GCF of Numerators as per given numbers 66/451, 772/450, 369/857 is
GCF of Numerators i.e. for 66,772,369 is 1
LCM of denominators i.e. for 451,450,857 is 173928150.
Thus, GCF of Fractions is 1/173928150.Finally, GCF of Fractions for 66/451, 772/450, 369/857 is 1/173928150.