Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/10,852/85,363/59
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 815,852,363
Greatest Common Factor of Numerators i.e. GCF of 815,852,363 is 1 .
LCM of Denominators means LCM of 10,85,59 as per the given fractions.
LCM of 10,85,59 is 10030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,852,363
∴ 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 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 815,852,363 . The biggest common factor number is the GCF number.
So the greatest common factor 815,852,363 is 1.
Lets's calculate LCM of 10,85,59
5 | 10, 85, 59 |
2, 17, 59 |
∴ So the LCM of the given numbers is 5 x 2 x 17 x 59 = 10030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10030
Therefore, the GCF of Fractions 815/10,852/85,363/59 is 1/10030
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 10,85,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,85,59) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(10,85,59) x common factors =1 x 5 = 5
LCM(10,85,59) = ( 10 × 85 × 59 ) / 5
LCM(10,85,59) = 50150 / 5
LCM(10,85,59) = 10030
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 815/10, 852/85, 363/59?
Answer: GCF of Numerators as per given numbers 815/10, 852/85, 363/59 is
GCF of Numerators i.e. for 815,852,363 is 1
LCM of denominators i.e. for 10,85,59 is 10030.
Thus, GCF of Fractions is 1/10030.Finally, GCF of Fractions for 815/10, 852/85, 363/59 is 1/10030.