Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4164/53,5121/464
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 4164,5121
Greatest Common Factor of Numerators i.e. GCF of 4164,5121 is 3 .
LCM of Denominators means LCM of 53,464 as per the given fractions.
LCM of 53,464 is 24592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4164,5121
3 | 4164, 5121 |
1388, 1707 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4164
List of positive integer factors of 4164 that divides 4164 without a remainder.
1,2,3,4,6,12,347,694,1041,1388,2082,4164
Factors of 5121
List of positive integer factors of 5121 that divides 5121 without a remainder.
1,3,9,569,1707,5121
Greatest Common Factor
We found the factors 4164,5121 . The biggest common factor number is the GCF number.
So the greatest common factor 4164,5121 is 3.
Lets's calculate LCM of 53,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 24592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24592
Therefore, the GCF of Fractions 4164/53,5121/464 is 3/24592
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 53,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,464) x common factors =1 x 1 = 1
LCM(53,464) = ( 53 × 464 ) / 1
LCM(53,464) = 24592 / 1
LCM(53,464) = 24592
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 4164/53, 5121/464?
Answer: GCF of Numerators as per given numbers 4164/53, 5121/464 is
GCF of Numerators i.e. for 4164,5121 is 3
LCM of denominators i.e. for 53,464 is 24592.
Thus, GCF of Fractions is 3/24592.Finally, GCF of Fractions for 4164/53, 5121/464 is 3/24592.