Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5801/56,3083/895
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 5801,3083
Greatest Common Factor of Numerators i.e. GCF of 5801,3083 is 1 .
LCM of Denominators means LCM of 56,895 as per the given fractions.
LCM of 56,895 is 50120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5801,3083
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5801
List of positive integer factors of 5801 that divides 5801 without a remainder.
1,5801
Factors of 3083
List of positive integer factors of 3083 that divides 3083 without a remainder.
1,3083
Greatest Common Factor
We found the factors 5801,3083 . The biggest common factor number is the GCF number.
So the greatest common factor 5801,3083 is 1.
Lets's calculate LCM of 56,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 50120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50120
Therefore, the GCF of Fractions 5801/56,3083/895 is 1/50120
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 56,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,895) x common factors =1 x 1 = 1
LCM(56,895) = ( 56 × 895 ) / 1
LCM(56,895) = 50120 / 1
LCM(56,895) = 50120
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 5801/56, 3083/895?
Answer: GCF of Numerators as per given numbers 5801/56, 3083/895 is
GCF of Numerators i.e. for 5801,3083 is 1
LCM of denominators i.e. for 56,895 is 50120.
Thus, GCF of Fractions is 1/50120.Finally, GCF of Fractions for 5801/56, 3083/895 is 1/50120.