Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4463/987,7999/1801
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 4463,7999
Greatest Common Factor of Numerators i.e. GCF of 4463,7999 is 1 .
LCM of Denominators means LCM of 987,1801 as per the given fractions.
LCM of 987,1801 is 1777587 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4463,7999
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4463
List of positive integer factors of 4463 that divides 4463 without a remainder.
1,4463
Factors of 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1,19,421,7999
Greatest Common Factor
We found the factors 4463,7999 . The biggest common factor number is the GCF number.
So the greatest common factor 4463,7999 is 1.
Lets's calculate LCM of 987,1801
Given numbers has no common factors except 1. So, there LCM is their product i.e 1777587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1777587
Therefore, the GCF of Fractions 4463/987,7999/1801 is 1/1777587
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 987,1801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,1801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,1801) x common factors =1 x 1 = 1
LCM(987,1801) = ( 987 × 1801 ) / 1
LCM(987,1801) = 1777587 / 1
LCM(987,1801) = 1777587
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 4463/987, 7999/1801?
Answer: GCF of Numerators as per given numbers 4463/987, 7999/1801 is
GCF of Numerators i.e. for 4463,7999 is 1
LCM of denominators i.e. for 987,1801 is 1777587.
Thus, GCF of Fractions is 1/1777587.Finally, GCF of Fractions for 4463/987, 7999/1801 is 1/1777587.