Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/76,164/53,813/471
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 44,164,813
Greatest Common Factor of Numerators i.e. GCF of 44,164,813 is 1 .
LCM of Denominators means LCM of 76,53,471 as per the given fractions.
LCM of 76,53,471 is 1897188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,164,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 44,164,813 . The biggest common factor number is the GCF number.
So the greatest common factor 44,164,813 is 1.
Lets's calculate LCM of 76,53,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 1897188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1897188
Therefore, the GCF of Fractions 44/76,164/53,813/471 is 1/1897188
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 76,53,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,53,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,53,471) x common factors =1 x 1 = 1
LCM(76,53,471) = ( 76 × 53 × 471 ) / 1
LCM(76,53,471) = 1897188 / 1
LCM(76,53,471) = 1897188
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 44/76, 164/53, 813/471?
Answer: GCF of Numerators as per given numbers 44/76, 164/53, 813/471 is
GCF of Numerators i.e. for 44,164,813 is 1
LCM of denominators i.e. for 76,53,471 is 1897188.
Thus, GCF of Fractions is 1/1897188.Finally, GCF of Fractions for 44/76, 164/53, 813/471 is 1/1897188.