GCF of 8068/733, 1288/9036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8068/733, 1288/9036 i.e 4/6623388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8068/733, 1288/9036.
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 8068/733,1288/9036?
Given fractions are 8068/733,1288/9036
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 8068/733,1288/9036, numerators are 8068,1288
Denominators are 733,9036
The GCF of 8068,1288 is 4 .
LCM of 733,9036 is 6623388.
The greatest common factor of 8068/733,1288/9036 = [GCF of 8068,1288]/[LCM of 733,9036]= 4/6623388
Therefore, the GCF of 8068/733,1288/9036 is 4/6623388.
To find the highest common factor of 8068,1288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8068 are 1, 2, 4, 2017, 4034, 8068
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The HCF of 8068,1288 is 4.
Lets's calculate GCF of 8068,1288
| 2 | 8068, 1288 |
| 2 | 4034, 644 |
| 2017, 322 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8068,1288 By Matching Biggest Common Factor Method
Now, list down the factors of 8068
:1,2,4,2017,4034,8068
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Greatest Common Factor
We found the factors 8068,1288 . The biggest common factor number is the GCF number.
So the greatest common factor 8068,1288 is 4.
Lets's calculate LCM of 733,9036
Given numbers has no common factors except 1. So, there LCM is their product i.e 6623388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6623388
Therefore, the GCF of Fractions 8068/733,1288/9036 is 4/6623388
Least Common Multiple of 733,9036 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 733,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,9036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,9036) x common factors =1 x 1 = 1
LCM(733,9036) = ( 733 × 9036 ) / 1
LCM(733,9036) = 6623388 / 1
LCM(733,9036) = 6623388
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FAQs on GCF of Fractions of 8068/733, 1288/9036
1. What is the HCF of 8068,1288?
The HCF of 8068,1288 is 4
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 8068/733, 1288/9036?
Answer: GCF of Numerators as per given numbers 8068/733, 1288/9036 is
GCF of Numerators i.e. for 8068,1288 is 4
LCM of denominators i.e. for 733,9036 is 6623388.
Thus, GCF of Fractions is 4/6623388.Finally, GCF of Fractions for 8068/733, 1288/9036 is 4/6623388.