GCF of 2600/404, 9062/3812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2600/404, 9062/3812 i.e 2/385012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2600/404, 9062/3812.
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 2600/404,9062/3812?
Given fractions are 2600/404,9062/3812
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 2600/404,9062/3812, numerators are 2600,9062
Denominators are 404,3812
The GCF of 2600,9062 is 2 .
LCM of 404,3812 is 385012.
The greatest common factor of 2600/404,9062/3812 = [GCF of 2600,9062]/[LCM of 404,3812]= 2/385012
Therefore, the GCF of 2600/404,9062/3812 is 2/385012.
To find the highest common factor of 2600,9062, we have to find the factors of both numbers and list the highest common factor.
The factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600
The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062
The HCF of 2600,9062 is 2.
Lets's calculate GCF of 2600,9062
| 2 | 2600, 9062 |
| 1300, 4531 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2600,9062 By Matching Biggest Common Factor Method
Now, list down the factors of 2600
:1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600
Now, list down the factors of 9062
:1,2,23,46,197,394,4531,9062
Greatest Common Factor
We found the factors 2600,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,9062 is 2.
Lets's calculate LCM of 404,3812
| 2 | 404, 3812 |
| 2 | 202, 1906 |
| 101, 953 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 953 = 385012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385012
Therefore, the GCF of Fractions 2600/404,9062/3812 is 2/385012
Least Common Multiple of 404,3812 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 404,3812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,3812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,3812) x common factors =4 x 1 = 4
LCM(404,3812) = ( 404 × 3812 ) / 4
LCM(404,3812) = 1540048 / 4
LCM(404,3812) = 385012
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FAQs on GCF of Fractions of 2600/404, 9062/3812
1. What is the HCF of 2600,9062?
The HCF of 2600,9062 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 2600/404, 9062/3812?
Answer: GCF of Numerators as per given numbers 2600/404, 9062/3812 is
GCF of Numerators i.e. for 2600,9062 is 2
LCM of denominators i.e. for 404,3812 is 385012.
Thus, GCF of Fractions is 2/385012.Finally, GCF of Fractions for 2600/404, 9062/3812 is 2/385012.