Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6062/59,5865/844
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 6062,5865
Greatest Common Factor of Numerators i.e. GCF of 6062,5865 is 1 .
LCM of Denominators means LCM of 59,844 as per the given fractions.
LCM of 59,844 is 49796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6062,5865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6062
List of positive integer factors of 6062 that divides 6062 without a remainder.
1,2,7,14,433,866,3031,6062
Factors of 5865
List of positive integer factors of 5865 that divides 5865 without a remainder.
1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 6062,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 6062,5865 is 1.
Lets's calculate LCM of 59,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 49796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49796
Therefore, the GCF of Fractions 6062/59,5865/844 is 1/49796
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 59,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,844) x common factors =1 x 1 = 1
LCM(59,844) = ( 59 × 844 ) / 1
LCM(59,844) = 49796 / 1
LCM(59,844) = 49796
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 6062/59, 5865/844?
Answer: GCF of Numerators as per given numbers 6062/59, 5865/844 is
GCF of Numerators i.e. for 6062,5865 is 1
LCM of denominators i.e. for 59,844 is 49796.
Thus, GCF of Fractions is 1/49796.Finally, GCF of Fractions for 6062/59, 5865/844 is 1/49796.