GCF of 3040/783, 8032/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3040/783, 8032/136 i.e 32/106488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3040/783, 8032/136.
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 3040/783,8032/136?
Given fractions are 3040/783,8032/136
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 3040/783,8032/136, numerators are 3040,8032
Denominators are 783,136
The GCF of 3040,8032 is 32 .
LCM of 783,136 is 106488.
The greatest common factor of 3040/783,8032/136 = [GCF of 3040,8032]/[LCM of 783,136]= 32/106488
Therefore, the GCF of 3040/783,8032/136 is 32/106488.
To find the highest common factor of 3040,8032, we have to find the factors of both numbers and list the highest common factor.
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032
The HCF of 3040,8032 is 32.
Lets's calculate GCF of 3040,8032
| 2 | 3040, 8032 |
| 2 | 1520, 4016 |
| 2 | 760, 2008 |
| 2 | 380, 1004 |
| 2 | 190, 502 |
| 95, 251 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 3040,8032 By Matching Biggest Common Factor Method
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Now, list down the factors of 8032
:1,2,4,8,16,32,251,502,1004,2008,4016,8032
Greatest Common Factor
We found the factors 3040,8032 . The biggest common factor number is the GCF number.
So the greatest common factor 3040,8032 is 32.
Lets's calculate LCM of 783,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 106488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/106488
Therefore, the GCF of Fractions 3040/783,8032/136 is 32/106488
Least Common Multiple of 783,136 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 783,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,136) x common factors =1 x 1 = 1
LCM(783,136) = ( 783 × 136 ) / 1
LCM(783,136) = 106488 / 1
LCM(783,136) = 106488
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3040/783, 8032/136
1. What is the HCF of 3040,8032?
The HCF of 3040,8032 is 32
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 3040/783, 8032/136?
Answer: GCF of Numerators as per given numbers 3040/783, 8032/136 is
GCF of Numerators i.e. for 3040,8032 is 32
LCM of denominators i.e. for 783,136 is 106488.
Thus, GCF of Fractions is 32/106488.Finally, GCF of Fractions for 3040/783, 8032/136 is 32/106488.