Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/51,16/95,40/13,21/973
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 38,16,40,21
Greatest Common Factor of Numerators i.e. GCF of 38,16,40,21 is 1 .
LCM of Denominators means LCM of 51,95,13,973 as per the given fractions.
LCM of 51,95,13,973 is 61284405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,16,40,21
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Greatest Common Factor
We found the factors 38,16,40,21 . The biggest common factor number is the GCF number.
So the greatest common factor 38,16,40,21 is 1.
Lets's calculate LCM of 51,95,13,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 61284405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61284405
Therefore, the GCF of Fractions 38/51,16/95,40/13,21/973 is 1/61284405
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 51,95,13,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,95,13,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,95,13,973) x common factors =1 x 1 = 1
LCM(51,95,13,973) = ( 51 × 95 × 13 × 973 ) / 1
LCM(51,95,13,973) = 61284405 / 1
LCM(51,95,13,973) = 61284405
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 38/51, 16/95, 40/13, 21/973?
Answer: GCF of Numerators as per given numbers 38/51, 16/95, 40/13, 21/973 is
GCF of Numerators i.e. for 38,16,40,21 is 1
LCM of denominators i.e. for 51,95,13,973 is 61284405.
Thus, GCF of Fractions is 1/61284405.Finally, GCF of Fractions for 38/51, 16/95, 40/13, 21/973 is 1/61284405.