Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7241/687,8490/1761
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 7241,8490
Greatest Common Factor of Numerators i.e. GCF of 7241,8490 is 1 .
LCM of Denominators means LCM of 687,1761 as per the given fractions.
LCM of 687,1761 is 403269 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7241,8490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7241
List of positive integer factors of 7241 that divides 7241 without a remainder.
1,13,557,7241
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Greatest Common Factor
We found the factors 7241,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 7241,8490 is 1.
Lets's calculate LCM of 687,1761
3 | 687, 1761 |
229, 587 |
∴ So the LCM of the given numbers is 3 x 229 x 587 = 403269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403269
Therefore, the GCF of Fractions 7241/687,8490/1761 is 1/403269
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 687,1761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,1761) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,1761) x common factors =3 x 1 = 3
LCM(687,1761) = ( 687 × 1761 ) / 3
LCM(687,1761) = 1209807 / 3
LCM(687,1761) = 403269
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 7241/687, 8490/1761?
Answer: GCF of Numerators as per given numbers 7241/687, 8490/1761 is
GCF of Numerators i.e. for 7241,8490 is 1
LCM of denominators i.e. for 687,1761 is 403269.
Thus, GCF of Fractions is 1/403269.Finally, GCF of Fractions for 7241/687, 8490/1761 is 1/403269.