Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4087/447,2563/2963
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 4087,2563
Greatest Common Factor of Numerators i.e. GCF of 4087,2563 is 1 .
LCM of Denominators means LCM of 447,2963 as per the given fractions.
LCM of 447,2963 is 1324461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4087,2563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4087
List of positive integer factors of 4087 that divides 4087 without a remainder.
1,61,67,4087
Factors of 2563
List of positive integer factors of 2563 that divides 2563 without a remainder.
1,11,233,2563
Greatest Common Factor
We found the factors 4087,2563 . The biggest common factor number is the GCF number.
So the greatest common factor 4087,2563 is 1.
Lets's calculate LCM of 447,2963
Given numbers has no common factors except 1. So, there LCM is their product i.e 1324461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324461
Therefore, the GCF of Fractions 4087/447,2563/2963 is 1/1324461
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 447,2963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,2963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,2963) x common factors =1 x 1 = 1
LCM(447,2963) = ( 447 × 2963 ) / 1
LCM(447,2963) = 1324461 / 1
LCM(447,2963) = 1324461
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 4087/447, 2563/2963?
Answer: GCF of Numerators as per given numbers 4087/447, 2563/2963 is
GCF of Numerators i.e. for 4087,2563 is 1
LCM of denominators i.e. for 447,2963 is 1324461.
Thus, GCF of Fractions is 1/1324461.Finally, GCF of Fractions for 4087/447, 2563/2963 is 1/1324461.