Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/67,15/19,474/978
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 38,15,474
Greatest Common Factor of Numerators i.e. GCF of 38,15,474 is 1 .
LCM of Denominators means LCM of 67,19,978 as per the given fractions.
LCM of 67,19,978 is 1244994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,15,474
∴ 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 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 38,15,474 . The biggest common factor number is the GCF number.
So the greatest common factor 38,15,474 is 1.
Lets's calculate LCM of 67,19,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 1244994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1244994
Therefore, the GCF of Fractions 38/67,15/19,474/978 is 1/1244994
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 67,19,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,19,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,19,978) x common factors =1 x 1 = 1
LCM(67,19,978) = ( 67 × 19 × 978 ) / 1
LCM(67,19,978) = 1244994 / 1
LCM(67,19,978) = 1244994
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 38/67, 15/19, 474/978?
Answer: GCF of Numerators as per given numbers 38/67, 15/19, 474/978 is
GCF of Numerators i.e. for 38,15,474 is 1
LCM of denominators i.e. for 67,19,978 is 1244994.
Thus, GCF of Fractions is 1/1244994.Finally, GCF of Fractions for 38/67, 15/19, 474/978 is 1/1244994.