Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/455,4690/1142
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 36,4690
Greatest Common Factor of Numerators i.e. GCF of 36,4690 is 2 .
LCM of Denominators means LCM of 455,1142 as per the given fractions.
LCM of 455,1142 is 519610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,4690
2 | 36, 4690 |
18, 2345 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 4690
List of positive integer factors of 4690 that divides 4690 without a remainder.
1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Greatest Common Factor
We found the factors 36,4690 . The biggest common factor number is the GCF number.
So the greatest common factor 36,4690 is 2.
Lets's calculate LCM of 455,1142
Given numbers has no common factors except 1. So, there LCM is their product i.e 519610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/519610
Therefore, the GCF of Fractions 36/455,4690/1142 is 2/519610
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 455,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,1142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,1142) x common factors =1 x 1 = 1
LCM(455,1142) = ( 455 × 1142 ) / 1
LCM(455,1142) = 519610 / 1
LCM(455,1142) = 519610
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 36/455, 4690/1142?
Answer: GCF of Numerators as per given numbers 36/455, 4690/1142 is
GCF of Numerators i.e. for 36,4690 is 2
LCM of denominators i.e. for 455,1142 is 519610.
Thus, GCF of Fractions is 2/519610.Finally, GCF of Fractions for 36/455, 4690/1142 is 2/519610.