GCF of 5845/827, 1440/4116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5845/827, 1440/4116 i.e 5/3403932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5845/827, 1440/4116.
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 5845/827,1440/4116?
Given fractions are 5845/827,1440/4116
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 5845/827,1440/4116, numerators are 5845,1440
Denominators are 827,4116
The GCF of 5845,1440 is 5 .
LCM of 827,4116 is 3403932.
The greatest common factor of 5845/827,1440/4116 = [GCF of 5845,1440]/[LCM of 827,4116]= 5/3403932
Therefore, the GCF of 5845/827,1440/4116 is 5/3403932.
To find the highest common factor of 5845,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The HCF of 5845,1440 is 5.
Lets's calculate GCF of 5845,1440
| 5 | 5845, 1440 |
| 1169, 288 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5845,1440 By Matching Biggest Common Factor Method
Now, list down the factors of 5845
:1,5,7,35,167,835,1169,5845
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 5845,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 5845,1440 is 5.
Lets's calculate LCM of 827,4116
Given numbers has no common factors except 1. So, there LCM is their product i.e 3403932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3403932
Therefore, the GCF of Fractions 5845/827,1440/4116 is 5/3403932
Least Common Multiple of 827,4116 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 827,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,4116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,4116) x common factors =1 x 1 = 1
LCM(827,4116) = ( 827 × 4116 ) / 1
LCM(827,4116) = 3403932 / 1
LCM(827,4116) = 3403932
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5845/827, 1440/4116
1. What is the HCF of 5845,1440?
The HCF of 5845,1440 is 5
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 5845/827, 1440/4116?
Answer: GCF of Numerators as per given numbers 5845/827, 1440/4116 is
GCF of Numerators i.e. for 5845,1440 is 5
LCM of denominators i.e. for 827,4116 is 3403932.
Thus, GCF of Fractions is 5/3403932.Finally, GCF of Fractions for 5845/827, 1440/4116 is 5/3403932.