Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1865/451,8772/595
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 1865,8772
Greatest Common Factor of Numerators i.e. GCF of 1865,8772 is 1 .
LCM of Denominators means LCM of 451,595 as per the given fractions.
LCM of 451,595 is 268345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1865,8772
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1865
List of positive integer factors of 1865 that divides 1865 without a remainder.
1,5,373,1865
Factors of 8772
List of positive integer factors of 8772 that divides 8772 without a remainder.
1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 1865,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 1865,8772 is 1.
Lets's calculate LCM of 451,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 268345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268345
Therefore, the GCF of Fractions 1865/451,8772/595 is 1/268345
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 451,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,595) x common factors =1 x 1 = 1
LCM(451,595) = ( 451 × 595 ) / 1
LCM(451,595) = 268345 / 1
LCM(451,595) = 268345
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 1865/451, 8772/595?
Answer: GCF of Numerators as per given numbers 1865/451, 8772/595 is
GCF of Numerators i.e. for 1865,8772 is 1
LCM of denominators i.e. for 451,595 is 268345.
Thus, GCF of Fractions is 1/268345.Finally, GCF of Fractions for 1865/451, 8772/595 is 1/268345.