GCF of 3133/583, 4383/2740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3133/583, 4383/2740 i.e 1/1597420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3133/583, 4383/2740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3133/583,4383/2740?
Given fractions are 3133/583,4383/2740
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3133/583,4383/2740, numerators are 3133,4383
Denominators are 583,2740
The GCF of 3133,4383 is 1 .
LCM of 583,2740 is 1597420.
The greatest common factor of 3133/583,4383/2740 = [GCF of 3133,4383]/[LCM of 583,2740]= 1/1597420
Therefore, the GCF of 3133/583,4383/2740 is 1/1597420.
To find the highest common factor of 3133,4383, we have to find the factors of both numbers and list the highest common factor.
The factors of 3133 are 1, 13, 241, 3133
The factors of 4383 are 1, 3, 9, 487, 1461, 4383
The HCF of 3133,4383 is 1.
Lets's calculate GCF of 3133,4383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3133,4383 By Matching Biggest Common Factor Method
Now, list down the factors of 3133
:1,13,241,3133
Now, list down the factors of 4383
:1,3,9,487,1461,4383
Greatest Common Factor
We found the factors 3133,4383 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,4383 is 1.
Lets's calculate LCM of 583,2740
Given numbers has no common factors except 1. So, there LCM is their product i.e 1597420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1597420
Therefore, the GCF of Fractions 3133/583,4383/2740 is 1/1597420
Least Common Multiple of 583,2740 with GCF Formula
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 583,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,2740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,2740) x common factors =1 x 1 = 1
LCM(583,2740) = ( 583 × 2740 ) / 1
LCM(583,2740) = 1597420 / 1
LCM(583,2740) = 1597420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3133/583, 4383/2740
1. What is the HCF of 3133,4383?
The HCF of 3133,4383 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 3133/583, 4383/2740?
Answer: GCF of Numerators as per given numbers 3133/583, 4383/2740 is
GCF of Numerators i.e. for 3133,4383 is 1
LCM of denominators i.e. for 583,2740 is 1597420.
Thus, GCF of Fractions is 1/1597420.Finally, GCF of Fractions for 3133/583, 4383/2740 is 1/1597420.