GCF of 4080/427, 8024/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4080/427, 8024/3405 i.e 136/1453935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4080/427, 8024/3405.
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 4080/427,8024/3405?
Given fractions are 4080/427,8024/3405
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 4080/427,8024/3405, numerators are 4080,8024
Denominators are 427,3405
The GCF of 4080,8024 is 136 .
LCM of 427,3405 is 1453935.
The greatest common factor of 4080/427,8024/3405 = [GCF of 4080,8024]/[LCM of 427,3405]= 136/1453935
Therefore, the GCF of 4080/427,8024/3405 is 136/1453935.
To find the highest common factor of 4080,8024, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The HCF of 4080,8024 is 136.
Lets's calculate GCF of 4080,8024
| 2 | 4080, 8024 |
| 2 | 2040, 4012 |
| 2 | 1020, 2006 |
| 17 | 510, 1003 |
| 30, 59 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136
Greatest Common Factor of 4080,8024 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Greatest Common Factor
We found the factors 4080,8024 . The biggest common factor number is the GCF number.
So the greatest common factor 4080,8024 is 136.
Lets's calculate LCM of 427,3405
Given numbers has no common factors except 1. So, there LCM is their product i.e 1453935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/1453935
Therefore, the GCF of Fractions 4080/427,8024/3405 is 136/1453935
Least Common Multiple of 427,3405 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 427,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,3405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,3405) x common factors =1 x 1 = 1
LCM(427,3405) = ( 427 × 3405 ) / 1
LCM(427,3405) = 1453935 / 1
LCM(427,3405) = 1453935
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FAQs on GCF of Fractions of 4080/427, 8024/3405
1. What is the HCF of 4080,8024?
The HCF of 4080,8024 is 136
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 4080/427, 8024/3405?
Answer: GCF of Numerators as per given numbers 4080/427, 8024/3405 is
GCF of Numerators i.e. for 4080,8024 is 136
LCM of denominators i.e. for 427,3405 is 1453935.
Thus, GCF of Fractions is 136/1453935.Finally, GCF of Fractions for 4080/427, 8024/3405 is 136/1453935.