Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5754/454,2146/859
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 5754,2146
Greatest Common Factor of Numerators i.e. GCF of 5754,2146 is 2 .
LCM of Denominators means LCM of 454,859 as per the given fractions.
LCM of 454,859 is 389986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5754,2146
2 | 5754, 2146 |
2877, 1073 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5754
List of positive integer factors of 5754 that divides 5754 without a remainder.
1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Factors of 2146
List of positive integer factors of 2146 that divides 2146 without a remainder.
1,2,29,37,58,74,1073,2146
Greatest Common Factor
We found the factors 5754,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,2146 is 2.
Lets's calculate LCM of 454,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 389986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/389986
Therefore, the GCF of Fractions 5754/454,2146/859 is 2/389986
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 454,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,859) x common factors =1 x 1 = 1
LCM(454,859) = ( 454 × 859 ) / 1
LCM(454,859) = 389986 / 1
LCM(454,859) = 389986
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 5754/454, 2146/859?
Answer: GCF of Numerators as per given numbers 5754/454, 2146/859 is
GCF of Numerators i.e. for 5754,2146 is 2
LCM of denominators i.e. for 454,859 is 389986.
Thus, GCF of Fractions is 2/389986.Finally, GCF of Fractions for 5754/454, 2146/859 is 2/389986.