Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8431/513,2851/8473
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 8431,2851
Greatest Common Factor of Numerators i.e. GCF of 8431,2851 is 1 .
LCM of Denominators means LCM of 513,8473 as per the given fractions.
LCM of 513,8473 is 4346649 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8431,2851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8431
List of positive integer factors of 8431 that divides 8431 without a remainder.
1,8431
Factors of 2851
List of positive integer factors of 2851 that divides 2851 without a remainder.
1,2851
Greatest Common Factor
We found the factors 8431,2851 . The biggest common factor number is the GCF number.
So the greatest common factor 8431,2851 is 1.
Lets's calculate LCM of 513,8473
Given numbers has no common factors except 1. So, there LCM is their product i.e 4346649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4346649
Therefore, the GCF of Fractions 8431/513,2851/8473 is 1/4346649
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 513,8473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,8473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,8473) x common factors =1 x 1 = 1
LCM(513,8473) = ( 513 × 8473 ) / 1
LCM(513,8473) = 4346649 / 1
LCM(513,8473) = 4346649
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 8431/513, 2851/8473?
Answer: GCF of Numerators as per given numbers 8431/513, 2851/8473 is
GCF of Numerators i.e. for 8431,2851 is 1
LCM of denominators i.e. for 513,8473 is 4346649.
Thus, GCF of Fractions is 1/4346649.Finally, GCF of Fractions for 8431/513, 2851/8473 is 1/4346649.