Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6617/281,4572/814
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 6617,4572
Greatest Common Factor of Numerators i.e. GCF of 6617,4572 is 1 .
LCM of Denominators means LCM of 281,814 as per the given fractions.
LCM of 281,814 is 228734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6617,4572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6617
List of positive integer factors of 6617 that divides 6617 without a remainder.
1,13,509,6617
Factors of 4572
List of positive integer factors of 4572 that divides 4572 without a remainder.
1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Greatest Common Factor
We found the factors 6617,4572 . The biggest common factor number is the GCF number.
So the greatest common factor 6617,4572 is 1.
Lets's calculate LCM of 281,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 228734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228734
Therefore, the GCF of Fractions 6617/281,4572/814 is 1/228734
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 281,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,814) x common factors =1 x 1 = 1
LCM(281,814) = ( 281 × 814 ) / 1
LCM(281,814) = 228734 / 1
LCM(281,814) = 228734
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 6617/281, 4572/814?
Answer: GCF of Numerators as per given numbers 6617/281, 4572/814 is
GCF of Numerators i.e. for 6617,4572 is 1
LCM of denominators i.e. for 281,814 is 228734.
Thus, GCF of Fractions is 1/228734.Finally, GCF of Fractions for 6617/281, 4572/814 is 1/228734.