Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/823,854/409,844/513
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 815,854,844
Greatest Common Factor of Numerators i.e. GCF of 815,854,844 is 1 .
LCM of Denominators means LCM of 823,409,513 as per the given fractions.
LCM of 823,409,513 is 172679391 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,854,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 815,854,844 . The biggest common factor number is the GCF number.
So the greatest common factor 815,854,844 is 1.
Lets's calculate LCM of 823,409,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 172679391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172679391
Therefore, the GCF of Fractions 815/823,854/409,844/513 is 1/172679391
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 823,409,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,409,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,409,513) x common factors =1 x 1 = 1
LCM(823,409,513) = ( 823 × 409 × 513 ) / 1
LCM(823,409,513) = 172679391 / 1
LCM(823,409,513) = 172679391
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 815/823, 854/409, 844/513?
Answer: GCF of Numerators as per given numbers 815/823, 854/409, 844/513 is
GCF of Numerators i.e. for 815,854,844 is 1
LCM of denominators i.e. for 823,409,513 is 172679391.
Thus, GCF of Fractions is 1/172679391.Finally, GCF of Fractions for 815/823, 854/409, 844/513 is 1/172679391.