Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6078/471,4861/3367
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 6078,4861
Greatest Common Factor of Numerators i.e. GCF of 6078,4861 is 1 .
LCM of Denominators means LCM of 471,3367 as per the given fractions.
LCM of 471,3367 is 1585857 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6078,4861
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6078
List of positive integer factors of 6078 that divides 6078 without a remainder.
1,2,3,6,1013,2026,3039,6078
Factors of 4861
List of positive integer factors of 4861 that divides 4861 without a remainder.
1,4861
Greatest Common Factor
We found the factors 6078,4861 . The biggest common factor number is the GCF number.
So the greatest common factor 6078,4861 is 1.
Lets's calculate LCM of 471,3367
Given numbers has no common factors except 1. So, there LCM is their product i.e 1585857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1585857
Therefore, the GCF of Fractions 6078/471,4861/3367 is 1/1585857
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 471,3367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,3367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,3367) x common factors =1 x 1 = 1
LCM(471,3367) = ( 471 × 3367 ) / 1
LCM(471,3367) = 1585857 / 1
LCM(471,3367) = 1585857
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 6078/471, 4861/3367?
Answer: GCF of Numerators as per given numbers 6078/471, 4861/3367 is
GCF of Numerators i.e. for 6078,4861 is 1
LCM of denominators i.e. for 471,3367 is 1585857.
Thus, GCF of Fractions is 1/1585857.Finally, GCF of Fractions for 6078/471, 4861/3367 is 1/1585857.