Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/21,15/46,712/649
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 50,15,712
Greatest Common Factor of Numerators i.e. GCF of 50,15,712 is 1 .
LCM of Denominators means LCM of 21,46,649 as per the given fractions.
LCM of 21,46,649 is 626934 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,15,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 50,15,712 . The biggest common factor number is the GCF number.
So the greatest common factor 50,15,712 is 1.
Lets's calculate LCM of 21,46,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 626934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626934
Therefore, the GCF of Fractions 50/21,15/46,712/649 is 1/626934
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 21,46,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,46,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,46,649) x common factors =1 x 1 = 1
LCM(21,46,649) = ( 21 × 46 × 649 ) / 1
LCM(21,46,649) = 626934 / 1
LCM(21,46,649) = 626934
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 50/21, 15/46, 712/649?
Answer: GCF of Numerators as per given numbers 50/21, 15/46, 712/649 is
GCF of Numerators i.e. for 50,15,712 is 1
LCM of denominators i.e. for 21,46,649 is 626934.
Thus, GCF of Fractions is 1/626934.Finally, GCF of Fractions for 50/21, 15/46, 712/649 is 1/626934.