Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/248,1829/169
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 513,1829
Greatest Common Factor of Numerators i.e. GCF of 513,1829 is 1 .
LCM of Denominators means LCM of 248,169 as per the given fractions.
LCM of 248,169 is 41912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,1829
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 1829
List of positive integer factors of 1829 that divides 1829 without a remainder.
1,31,59,1829
Greatest Common Factor
We found the factors 513,1829 . The biggest common factor number is the GCF number.
So the greatest common factor 513,1829 is 1.
Lets's calculate LCM of 248,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 41912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41912
Therefore, the GCF of Fractions 513/248,1829/169 is 1/41912
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 248,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,169) x common factors =1 x 1 = 1
LCM(248,169) = ( 248 × 169 ) / 1
LCM(248,169) = 41912 / 1
LCM(248,169) = 41912
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 513/248, 1829/169?
Answer: GCF of Numerators as per given numbers 513/248, 1829/169 is
GCF of Numerators i.e. for 513,1829 is 1
LCM of denominators i.e. for 248,169 is 41912.
Thus, GCF of Fractions is 1/41912.Finally, GCF of Fractions for 513/248, 1829/169 is 1/41912.