Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/2583,897/6787
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 673,897
Greatest Common Factor of Numerators i.e. GCF of 673,897 is 1 .
LCM of Denominators means LCM of 2583,6787 as per the given fractions.
LCM of 2583,6787 is 17530821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 673,897 . The biggest common factor number is the GCF number.
So the greatest common factor 673,897 is 1.
Lets's calculate LCM of 2583,6787
Given numbers has no common factors except 1. So, there LCM is their product i.e 17530821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17530821
Therefore, the GCF of Fractions 673/2583,897/6787 is 1/17530821
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 2583,6787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2583,6787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2583,6787) x common factors =1 x 1 = 1
LCM(2583,6787) = ( 2583 × 6787 ) / 1
LCM(2583,6787) = 17530821 / 1
LCM(2583,6787) = 17530821
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 673/2583, 897/6787?
Answer: GCF of Numerators as per given numbers 673/2583, 897/6787 is
GCF of Numerators i.e. for 673,897 is 1
LCM of denominators i.e. for 2583,6787 is 17530821.
Thus, GCF of Fractions is 1/17530821.Finally, GCF of Fractions for 673/2583, 897/6787 is 1/17530821.