GCF of 3249/283, 3330/3447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3249/283, 3330/3447 i.e 9/975501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3249/283, 3330/3447.
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 3249/283,3330/3447?
Given fractions are 3249/283,3330/3447
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 3249/283,3330/3447, numerators are 3249,3330
Denominators are 283,3447
The GCF of 3249,3330 is 9 .
LCM of 283,3447 is 975501.
The greatest common factor of 3249/283,3330/3447 = [GCF of 3249,3330]/[LCM of 283,3447]= 9/975501
Therefore, the GCF of 3249/283,3330/3447 is 9/975501.
To find the highest common factor of 3249,3330, we have to find the factors of both numbers and list the highest common factor.
The factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249
The factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330
The HCF of 3249,3330 is 9.
Lets's calculate GCF of 3249,3330
| 3 | 3249, 3330 |
| 3 | 1083, 1110 |
| 361, 370 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3249,3330 By Matching Biggest Common Factor Method
Now, list down the factors of 3249
:1,3,9,19,57,171,361,1083,3249
Now, list down the factors of 3330
:1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330
Greatest Common Factor
We found the factors 3249,3330 . The biggest common factor number is the GCF number.
So the greatest common factor 3249,3330 is 9.
Lets's calculate LCM of 283,3447
Given numbers has no common factors except 1. So, there LCM is their product i.e 975501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/975501
Therefore, the GCF of Fractions 3249/283,3330/3447 is 9/975501
Least Common Multiple of 283,3447 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 283,3447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,3447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,3447) x common factors =1 x 1 = 1
LCM(283,3447) = ( 283 × 3447 ) / 1
LCM(283,3447) = 975501 / 1
LCM(283,3447) = 975501
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3249/283, 3330/3447
1. What is the HCF of 3249,3330?
The HCF of 3249,3330 is 9
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 3249/283, 3330/3447?
Answer: GCF of Numerators as per given numbers 3249/283, 3330/3447 is
GCF of Numerators i.e. for 3249,3330 is 9
LCM of denominators i.e. for 283,3447 is 975501.
Thus, GCF of Fractions is 9/975501.Finally, GCF of Fractions for 3249/283, 3330/3447 is 9/975501.