GCF of 3300/140, 2247/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3300/140, 2247/1420 i.e 3/9940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3300/140, 2247/1420.
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 3300/140,2247/1420?
Given fractions are 3300/140,2247/1420
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 3300/140,2247/1420, numerators are 3300,2247
Denominators are 140,1420
The GCF of 3300,2247 is 3 .
LCM of 140,1420 is 9940.
The greatest common factor of 3300/140,2247/1420 = [GCF of 3300,2247]/[LCM of 140,1420]= 3/9940
Therefore, the GCF of 3300/140,2247/1420 is 3/9940.
To find the highest common factor of 3300,2247, we have to find the factors of both numbers and list the highest common factor.
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 3300,2247 is 3.
Lets's calculate GCF of 3300,2247
| 3 | 3300, 2247 |
| 1100, 749 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3300,2247 By Matching Biggest Common Factor Method
Now, list down the factors of 3300
:1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 3300,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 3300,2247 is 3.
Lets's calculate LCM of 140,1420
| 2 | 140, 1420 |
| 2 | 70, 710 |
| 5 | 35, 355 |
| 7, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 71 = 9940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9940
Therefore, the GCF of Fractions 3300/140,2247/1420 is 3/9940
Least Common Multiple of 140,1420 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 140,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,1420) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(140,1420) x common factors =20 x 1 = 20
LCM(140,1420) = ( 140 × 1420 ) / 20
LCM(140,1420) = 198800 / 20
LCM(140,1420) = 9940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3300/140, 2247/1420
1. What is the HCF of 3300,2247?
The HCF of 3300,2247 is 3
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 3300/140, 2247/1420?
Answer: GCF of Numerators as per given numbers 3300/140, 2247/1420 is
GCF of Numerators i.e. for 3300,2247 is 3
LCM of denominators i.e. for 140,1420 is 9940.
Thus, GCF of Fractions is 3/9940.Finally, GCF of Fractions for 3300/140, 2247/1420 is 3/9940.