GCF of 3313/600, 1032/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3313/600, 1032/643 i.e 1/385800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3313/600, 1032/643.
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 3313/600,1032/643?
Given fractions are 3313/600,1032/643
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 3313/600,1032/643, numerators are 3313,1032
Denominators are 600,643
The GCF of 3313,1032 is 1 .
LCM of 600,643 is 385800.
The greatest common factor of 3313/600,1032/643 = [GCF of 3313,1032]/[LCM of 600,643]= 1/385800
Therefore, the GCF of 3313/600,1032/643 is 1/385800.
To find the highest common factor of 3313,1032, we have to find the factors of both numbers and list the highest common factor.
The factors of 3313 are 1, 3313
The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032
The HCF of 3313,1032 is 1.
Lets's calculate GCF of 3313,1032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3313,1032 By Matching Biggest Common Factor Method
Now, list down the factors of 3313
:1,3313
Now, list down the factors of 1032
:1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032
Greatest Common Factor
We found the factors 3313,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 3313,1032 is 1.
Lets's calculate LCM of 600,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 385800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385800
Therefore, the GCF of Fractions 3313/600,1032/643 is 1/385800
Least Common Multiple of 600,643 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 600,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,643) x common factors =1 x 1 = 1
LCM(600,643) = ( 600 × 643 ) / 1
LCM(600,643) = 385800 / 1
LCM(600,643) = 385800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3313/600, 1032/643
1. What is the HCF of 3313,1032?
The HCF of 3313,1032 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 3313/600, 1032/643?
Answer: GCF of Numerators as per given numbers 3313/600, 1032/643 is
GCF of Numerators i.e. for 3313,1032 is 1
LCM of denominators i.e. for 600,643 is 385800.
Thus, GCF of Fractions is 1/385800.Finally, GCF of Fractions for 3313/600, 1032/643 is 1/385800.