Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 914/16,620/1795
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 914,620
Greatest Common Factor of Numerators i.e. GCF of 914,620 is 2 .
LCM of Denominators means LCM of 16,1795 as per the given fractions.
LCM of 16,1795 is 28720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 914,620
2 | 914, 620 |
457, 310 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 914,620 . The biggest common factor number is the GCF number.
So the greatest common factor 914,620 is 2.
Lets's calculate LCM of 16,1795
Given numbers has no common factors except 1. So, there LCM is their product i.e 28720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28720
Therefore, the GCF of Fractions 914/16,620/1795 is 2/28720
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 16,1795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,1795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,1795) x common factors =1 x 1 = 1
LCM(16,1795) = ( 16 × 1795 ) / 1
LCM(16,1795) = 28720 / 1
LCM(16,1795) = 28720
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 914/16, 620/1795?
Answer: GCF of Numerators as per given numbers 914/16, 620/1795 is
GCF of Numerators i.e. for 914,620 is 2
LCM of denominators i.e. for 16,1795 is 28720.
Thus, GCF of Fractions is 2/28720.Finally, GCF of Fractions for 914/16, 620/1795 is 2/28720.