Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3992/33,1400/419
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 3992,1400
Greatest Common Factor of Numerators i.e. GCF of 3992,1400 is 8 .
LCM of Denominators means LCM of 33,419 as per the given fractions.
LCM of 33,419 is 13827 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3992,1400
2 | 3992, 1400 |
2 | 1996, 700 |
2 | 998, 350 |
499, 175 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 3992
List of positive integer factors of 3992 that divides 3992 without a remainder.
1,2,4,8,499,998,1996,3992
Factors of 1400
List of positive integer factors of 1400 that divides 1400 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Greatest Common Factor
We found the factors 3992,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 3992,1400 is 8.
Lets's calculate LCM of 33,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 13827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/13827
Therefore, the GCF of Fractions 3992/33,1400/419 is 8/13827
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 33,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,419) x common factors =1 x 1 = 1
LCM(33,419) = ( 33 × 419 ) / 1
LCM(33,419) = 13827 / 1
LCM(33,419) = 13827
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 3992/33, 1400/419?
Answer: GCF of Numerators as per given numbers 3992/33, 1400/419 is
GCF of Numerators i.e. for 3992,1400 is 8
LCM of denominators i.e. for 33,419 is 13827.
Thus, GCF of Fractions is 8/13827.Finally, GCF of Fractions for 3992/33, 1400/419 is 8/13827.