Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6253/446,4182/2003
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 6253,4182
Greatest Common Factor of Numerators i.e. GCF of 6253,4182 is 1 .
LCM of Denominators means LCM of 446,2003 as per the given fractions.
LCM of 446,2003 is 893338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6253,4182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6253
List of positive integer factors of 6253 that divides 6253 without a remainder.
1,13,37,169,481,6253
Factors of 4182
List of positive integer factors of 4182 that divides 4182 without a remainder.
1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Greatest Common Factor
We found the factors 6253,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 6253,4182 is 1.
Lets's calculate LCM of 446,2003
Given numbers has no common factors except 1. So, there LCM is their product i.e 893338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/893338
Therefore, the GCF of Fractions 6253/446,4182/2003 is 1/893338
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 446,2003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,2003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,2003) x common factors =1 x 1 = 1
LCM(446,2003) = ( 446 × 2003 ) / 1
LCM(446,2003) = 893338 / 1
LCM(446,2003) = 893338
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 6253/446, 4182/2003?
Answer: GCF of Numerators as per given numbers 6253/446, 4182/2003 is
GCF of Numerators i.e. for 6253,4182 is 1
LCM of denominators i.e. for 446,2003 is 893338.
Thus, GCF of Fractions is 1/893338.Finally, GCF of Fractions for 6253/446, 4182/2003 is 1/893338.