Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8845/922,2057/1535
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 8845,2057
Greatest Common Factor of Numerators i.e. GCF of 8845,2057 is 1 .
LCM of Denominators means LCM of 922,1535 as per the given fractions.
LCM of 922,1535 is 1415270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8845,2057
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8845
List of positive integer factors of 8845 that divides 8845 without a remainder.
1,5,29,61,145,305,1769,8845
Factors of 2057
List of positive integer factors of 2057 that divides 2057 without a remainder.
1,11,17,121,187,2057
Greatest Common Factor
We found the factors 8845,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 8845,2057 is 1.
Lets's calculate LCM of 922,1535
Given numbers has no common factors except 1. So, there LCM is their product i.e 1415270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1415270
Therefore, the GCF of Fractions 8845/922,2057/1535 is 1/1415270
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 922,1535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,1535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,1535) x common factors =1 x 1 = 1
LCM(922,1535) = ( 922 × 1535 ) / 1
LCM(922,1535) = 1415270 / 1
LCM(922,1535) = 1415270
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 8845/922, 2057/1535?
Answer: GCF of Numerators as per given numbers 8845/922, 2057/1535 is
GCF of Numerators i.e. for 8845,2057 is 1
LCM of denominators i.e. for 922,1535 is 1415270.
Thus, GCF of Fractions is 1/1415270.Finally, GCF of Fractions for 8845/922, 2057/1535 is 1/1415270.