GCF of 6040/754, 3082/9616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6040/754, 3082/9616 i.e 2/3625232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6040/754, 3082/9616.
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 6040/754,3082/9616?
Given fractions are 6040/754,3082/9616
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 6040/754,3082/9616, numerators are 6040,3082
Denominators are 754,9616
The GCF of 6040,3082 is 2 .
LCM of 754,9616 is 3625232.
The greatest common factor of 6040/754,3082/9616 = [GCF of 6040,3082]/[LCM of 754,9616]= 2/3625232
Therefore, the GCF of 6040/754,3082/9616 is 2/3625232.
To find the highest common factor of 6040,3082, we have to find the factors of both numbers and list the highest common factor.
The factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The HCF of 6040,3082 is 2.
Lets's calculate GCF of 6040,3082
| 2 | 6040, 3082 |
| 3020, 1541 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6040,3082 By Matching Biggest Common Factor Method
Now, list down the factors of 6040
:1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors 6040,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 6040,3082 is 2.
Lets's calculate LCM of 754,9616
| 2 | 754, 9616 |
| 377, 4808 |
∴ So the LCM of the given numbers is 2 x 377 x 4808 = 3625232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3625232
Therefore, the GCF of Fractions 6040/754,3082/9616 is 2/3625232
Least Common Multiple of 754,9616 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 754,9616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,9616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,9616) x common factors =2 x 1 = 2
LCM(754,9616) = ( 754 × 9616 ) / 2
LCM(754,9616) = 7250464 / 2
LCM(754,9616) = 3625232
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FAQs on GCF of Fractions of 6040/754, 3082/9616
1. What is the HCF of 6040,3082?
The HCF of 6040,3082 is 2
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 6040/754, 3082/9616?
Answer: GCF of Numerators as per given numbers 6040/754, 3082/9616 is
GCF of Numerators i.e. for 6040,3082 is 2
LCM of denominators i.e. for 754,9616 is 3625232.
Thus, GCF of Fractions is 2/3625232.Finally, GCF of Fractions for 6040/754, 3082/9616 is 2/3625232.