GCF of 5616/281, 6040/5146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5616/281, 6040/5146 i.e 8/1446026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5616/281, 6040/5146.
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 5616/281,6040/5146?
Given fractions are 5616/281,6040/5146
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 5616/281,6040/5146, numerators are 5616,6040
Denominators are 281,5146
The GCF of 5616,6040 is 8 .
LCM of 281,5146 is 1446026.
The greatest common factor of 5616/281,6040/5146 = [GCF of 5616,6040]/[LCM of 281,5146]= 8/1446026
Therefore, the GCF of 5616/281,6040/5146 is 8/1446026.
To find the highest common factor of 5616,6040, we have to find the factors of both numbers and list the highest common factor.
The factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616
The factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
The HCF of 5616,6040 is 8.
Lets's calculate GCF of 5616,6040
| 2 | 5616, 6040 |
| 2 | 2808, 3020 |
| 2 | 1404, 1510 |
| 702, 755 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5616,6040 By Matching Biggest Common Factor Method
Now, list down the factors of 5616
:1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616
Now, list down the factors of 6040
:1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Greatest Common Factor
We found the factors 5616,6040 . The biggest common factor number is the GCF number.
So the greatest common factor 5616,6040 is 8.
Lets's calculate LCM of 281,5146
Given numbers has no common factors except 1. So, there LCM is their product i.e 1446026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1446026
Therefore, the GCF of Fractions 5616/281,6040/5146 is 8/1446026
Least Common Multiple of 281,5146 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 281,5146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,5146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,5146) x common factors =1 x 1 = 1
LCM(281,5146) = ( 281 × 5146 ) / 1
LCM(281,5146) = 1446026 / 1
LCM(281,5146) = 1446026
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5616/281, 6040/5146
1. What is the HCF of 5616,6040?
The HCF of 5616,6040 is 8
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 5616/281, 6040/5146?
Answer: GCF of Numerators as per given numbers 5616/281, 6040/5146 is
GCF of Numerators i.e. for 5616,6040 is 8
LCM of denominators i.e. for 281,5146 is 1446026.
Thus, GCF of Fractions is 8/1446026.Finally, GCF of Fractions for 5616/281, 6040/5146 is 8/1446026.