Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5208/401,1993/848
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 5208,1993
Greatest Common Factor of Numerators i.e. GCF of 5208,1993 is 1 .
LCM of Denominators means LCM of 401,848 as per the given fractions.
LCM of 401,848 is 340048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5208,1993
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5208
List of positive integer factors of 5208 that divides 5208 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208
Factors of 1993
List of positive integer factors of 1993 that divides 1993 without a remainder.
1,1993
Greatest Common Factor
We found the factors 5208,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 5208,1993 is 1.
Lets's calculate LCM of 401,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 340048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340048
Therefore, the GCF of Fractions 5208/401,1993/848 is 1/340048
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 401,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,848) x common factors =1 x 1 = 1
LCM(401,848) = ( 401 × 848 ) / 1
LCM(401,848) = 340048 / 1
LCM(401,848) = 340048
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 5208/401, 1993/848?
Answer: GCF of Numerators as per given numbers 5208/401, 1993/848 is
GCF of Numerators i.e. for 5208,1993 is 1
LCM of denominators i.e. for 401,848 is 340048.
Thus, GCF of Fractions is 1/340048.Finally, GCF of Fractions for 5208/401, 1993/848 is 1/340048.