Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6003/281,3724/6741
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 6003,3724
Greatest Common Factor of Numerators i.e. GCF of 6003,3724 is 1 .
LCM of Denominators means LCM of 281,6741 as per the given fractions.
LCM of 281,6741 is 1894221 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6003,3724
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6003
List of positive integer factors of 6003 that divides 6003 without a remainder.
1,3,9,23,29,69,87,207,261,667,2001,6003
Factors of 3724
List of positive integer factors of 3724 that divides 3724 without a remainder.
1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Greatest Common Factor
We found the factors 6003,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 6003,3724 is 1.
Lets's calculate LCM of 281,6741
Given numbers has no common factors except 1. So, there LCM is their product i.e 1894221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1894221
Therefore, the GCF of Fractions 6003/281,3724/6741 is 1/1894221
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 281,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,6741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,6741) x common factors =1 x 1 = 1
LCM(281,6741) = ( 281 × 6741 ) / 1
LCM(281,6741) = 1894221 / 1
LCM(281,6741) = 1894221
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 6003/281, 3724/6741?
Answer: GCF of Numerators as per given numbers 6003/281, 3724/6741 is
GCF of Numerators i.e. for 6003,3724 is 1
LCM of denominators i.e. for 281,6741 is 1894221.
Thus, GCF of Fractions is 1/1894221.Finally, GCF of Fractions for 6003/281, 3724/6741 is 1/1894221.