GCF of 8032/990, 1040/5374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8032/990, 1040/5374 i.e 16/2660130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8032/990, 1040/5374.
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 8032/990,1040/5374?
Given fractions are 8032/990,1040/5374
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 8032/990,1040/5374, numerators are 8032,1040
Denominators are 990,5374
The GCF of 8032,1040 is 16 .
LCM of 990,5374 is 2660130.
The greatest common factor of 8032/990,1040/5374 = [GCF of 8032,1040]/[LCM of 990,5374]= 16/2660130
Therefore, the GCF of 8032/990,1040/5374 is 16/2660130.
To find the highest common factor of 8032,1040, we have to find the factors of both numbers and list the highest common factor.
The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032
The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
The HCF of 8032,1040 is 16.
Lets's calculate GCF of 8032,1040
| 2 | 8032, 1040 |
| 2 | 4016, 520 |
| 2 | 2008, 260 |
| 2 | 1004, 130 |
| 502, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8032,1040 By Matching Biggest Common Factor Method
Now, list down the factors of 8032
:1,2,4,8,16,32,251,502,1004,2008,4016,8032
Now, list down the factors of 1040
:1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Greatest Common Factor
We found the factors 8032,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 8032,1040 is 16.
Lets's calculate LCM of 990,5374
| 2 | 990, 5374 |
| 495, 2687 |
∴ So the LCM of the given numbers is 2 x 495 x 2687 = 2660130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2660130
Therefore, the GCF of Fractions 8032/990,1040/5374 is 16/2660130
Least Common Multiple of 990,5374 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 990,5374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,5374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(990,5374) x common factors =2 x 1 = 2
LCM(990,5374) = ( 990 × 5374 ) / 2
LCM(990,5374) = 5320260 / 2
LCM(990,5374) = 2660130
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FAQs on GCF of Fractions of 8032/990, 1040/5374
1. What is the HCF of 8032,1040?
The HCF of 8032,1040 is 16
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 8032/990, 1040/5374?
Answer: GCF of Numerators as per given numbers 8032/990, 1040/5374 is
GCF of Numerators i.e. for 8032,1040 is 16
LCM of denominators i.e. for 990,5374 is 2660130.
Thus, GCF of Fractions is 16/2660130.Finally, GCF of Fractions for 8032/990, 1040/5374 is 16/2660130.