GCF of 3840/485, 6069/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3840/485, 6069/420 i.e 3/40740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3840/485, 6069/420.
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 3840/485,6069/420?
Given fractions are 3840/485,6069/420
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 3840/485,6069/420, numerators are 3840,6069
Denominators are 485,420
The GCF of 3840,6069 is 3 .
LCM of 485,420 is 40740.
The greatest common factor of 3840/485,6069/420 = [GCF of 3840,6069]/[LCM of 485,420]= 3/40740
Therefore, the GCF of 3840/485,6069/420 is 3/40740.
To find the highest common factor of 3840,6069, we have to find the factors of both numbers and list the highest common factor.
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The HCF of 3840,6069 is 3.
Lets's calculate GCF of 3840,6069
| 3 | 3840, 6069 |
| 1280, 2023 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3840,6069 By Matching Biggest Common Factor Method
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Greatest Common Factor
We found the factors 3840,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 3840,6069 is 3.
Lets's calculate LCM of 485,420
| 5 | 485, 420 |
| 97, 84 |
∴ So the LCM of the given numbers is 5 x 97 x 84 = 40740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40740
Therefore, the GCF of Fractions 3840/485,6069/420 is 3/40740
Least Common Multiple of 485,420 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 485,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,420) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,420) x common factors =5 x 1 = 5
LCM(485,420) = ( 485 × 420 ) / 5
LCM(485,420) = 203700 / 5
LCM(485,420) = 40740
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FAQs on GCF of Fractions of 3840/485, 6069/420
1. What is the HCF of 3840,6069?
The HCF of 3840,6069 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 3840/485, 6069/420?
Answer: GCF of Numerators as per given numbers 3840/485, 6069/420 is
GCF of Numerators i.e. for 3840,6069 is 3
LCM of denominators i.e. for 485,420 is 40740.
Thus, GCF of Fractions is 3/40740.Finally, GCF of Fractions for 3840/485, 6069/420 is 3/40740.