Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/50,72/11,54/977,187/783
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 5,72,54,187
Greatest Common Factor of Numerators i.e. GCF of 5,72,54,187 is 1 .
LCM of Denominators means LCM of 50,11,977,783 as per the given fractions.
LCM of 50,11,977,783 is 420745050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,72,54,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 5,72,54,187 . The biggest common factor number is the GCF number.
So the greatest common factor 5,72,54,187 is 1.
Lets's calculate LCM of 50,11,977,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 420745050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420745050
Therefore, the GCF of Fractions 5/50,72/11,54/977,187/783 is 1/420745050
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 50,11,977,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,11,977,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,11,977,783) x common factors =1 x 1 = 1
LCM(50,11,977,783) = ( 50 × 11 × 977 × 783 ) / 1
LCM(50,11,977,783) = 420745050 / 1
LCM(50,11,977,783) = 420745050
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 5/50, 72/11, 54/977, 187/783?
Answer: GCF of Numerators as per given numbers 5/50, 72/11, 54/977, 187/783 is
GCF of Numerators i.e. for 5,72,54,187 is 1
LCM of denominators i.e. for 50,11,977,783 is 420745050.
Thus, GCF of Fractions is 1/420745050.Finally, GCF of Fractions for 5/50, 72/11, 54/977, 187/783 is 1/420745050.