Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/453,1858/1177
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 299,1858
Greatest Common Factor of Numerators i.e. GCF of 299,1858 is 1 .
LCM of Denominators means LCM of 453,1177 as per the given fractions.
LCM of 453,1177 is 533181 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,1858
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 1858
List of positive integer factors of 1858 that divides 1858 without a remainder.
1,2,929,1858
Greatest Common Factor
We found the factors 299,1858 . The biggest common factor number is the GCF number.
So the greatest common factor 299,1858 is 1.
Lets's calculate LCM of 453,1177
Given numbers has no common factors except 1. So, there LCM is their product i.e 533181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533181
Therefore, the GCF of Fractions 299/453,1858/1177 is 1/533181
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 453,1177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,1177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,1177) x common factors =1 x 1 = 1
LCM(453,1177) = ( 453 × 1177 ) / 1
LCM(453,1177) = 533181 / 1
LCM(453,1177) = 533181
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 299/453, 1858/1177?
Answer: GCF of Numerators as per given numbers 299/453, 1858/1177 is
GCF of Numerators i.e. for 299,1858 is 1
LCM of denominators i.e. for 453,1177 is 533181.
Thus, GCF of Fractions is 1/533181.Finally, GCF of Fractions for 299/453, 1858/1177 is 1/533181.