GCF of 3909/486, 1848/2869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3909/486, 1848/2869 i.e 3/1394334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3909/486, 1848/2869.
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 3909/486,1848/2869?
Given fractions are 3909/486,1848/2869
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 3909/486,1848/2869, numerators are 3909,1848
Denominators are 486,2869
The GCF of 3909,1848 is 3 .
LCM of 486,2869 is 1394334.
The greatest common factor of 3909/486,1848/2869 = [GCF of 3909,1848]/[LCM of 486,2869]= 3/1394334
Therefore, the GCF of 3909/486,1848/2869 is 3/1394334.
To find the highest common factor of 3909,1848, we have to find the factors of both numbers and list the highest common factor.
The factors of 3909 are 1, 3, 1303, 3909
The factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848
The HCF of 3909,1848 is 3.
Lets's calculate GCF of 3909,1848
| 3 | 3909, 1848 |
| 1303, 616 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3909,1848 By Matching Biggest Common Factor Method
Now, list down the factors of 3909
:1,3,1303,3909
Now, list down the factors of 1848
:1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848
Greatest Common Factor
We found the factors 3909,1848 . The biggest common factor number is the GCF number.
So the greatest common factor 3909,1848 is 3.
Lets's calculate LCM of 486,2869
Given numbers has no common factors except 1. So, there LCM is their product i.e 1394334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1394334
Therefore, the GCF of Fractions 3909/486,1848/2869 is 3/1394334
Least Common Multiple of 486,2869 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 486,2869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,2869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,2869) x common factors =1 x 1 = 1
LCM(486,2869) = ( 486 × 2869 ) / 1
LCM(486,2869) = 1394334 / 1
LCM(486,2869) = 1394334
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FAQs on GCF of Fractions of 3909/486, 1848/2869
1. What is the HCF of 3909,1848?
The HCF of 3909,1848 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 3909/486, 1848/2869?
Answer: GCF of Numerators as per given numbers 3909/486, 1848/2869 is
GCF of Numerators i.e. for 3909,1848 is 3
LCM of denominators i.e. for 486,2869 is 1394334.
Thus, GCF of Fractions is 3/1394334.Finally, GCF of Fractions for 3909/486, 1848/2869 is 3/1394334.