GCF of 1854/469, 4080/8256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1854/469, 4080/8256 i.e 6/3872064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1854/469, 4080/8256.
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 1854/469,4080/8256?
Given fractions are 1854/469,4080/8256
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 1854/469,4080/8256, numerators are 1854,4080
Denominators are 469,8256
The GCF of 1854,4080 is 6 .
LCM of 469,8256 is 3872064.
The greatest common factor of 1854/469,4080/8256 = [GCF of 1854,4080]/[LCM of 469,8256]= 6/3872064
Therefore, the GCF of 1854/469,4080/8256 is 6/3872064.
To find the highest common factor of 1854,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 1854,4080 is 6.
Lets's calculate GCF of 1854,4080
| 2 | 1854, 4080 |
| 3 | 927, 2040 |
| 309, 680 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1854,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 1854
:1,2,3,6,9,18,103,206,309,618,927,1854
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 1854,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 1854,4080 is 6.
Lets's calculate LCM of 469,8256
Given numbers has no common factors except 1. So, there LCM is their product i.e 3872064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3872064
Therefore, the GCF of Fractions 1854/469,4080/8256 is 6/3872064
Least Common Multiple of 469,8256 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 469,8256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,8256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,8256) x common factors =1 x 1 = 1
LCM(469,8256) = ( 469 × 8256 ) / 1
LCM(469,8256) = 3872064 / 1
LCM(469,8256) = 3872064
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FAQs on GCF of Fractions of 1854/469, 4080/8256
1. What is the HCF of 1854,4080?
The HCF of 1854,4080 is 6
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 1854/469, 4080/8256?
Answer: GCF of Numerators as per given numbers 1854/469, 4080/8256 is
GCF of Numerators i.e. for 1854,4080 is 6
LCM of denominators i.e. for 469,8256 is 3872064.
Thus, GCF of Fractions is 6/3872064.Finally, GCF of Fractions for 1854/469, 4080/8256 is 6/3872064.