GCF of 5004/292, 5616/8412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5004/292, 5616/8412 i.e 36/614076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5004/292, 5616/8412.
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 5004/292,5616/8412?
Given fractions are 5004/292,5616/8412
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 5004/292,5616/8412, numerators are 5004,5616
Denominators are 292,8412
The GCF of 5004,5616 is 36 .
LCM of 292,8412 is 614076.
The greatest common factor of 5004/292,5616/8412 = [GCF of 5004,5616]/[LCM of 292,8412]= 36/614076
Therefore, the GCF of 5004/292,5616/8412 is 36/614076.
To find the highest common factor of 5004,5616, we have to find the factors of both numbers and list the highest common factor.
The factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004
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 HCF of 5004,5616 is 36.
Lets's calculate GCF of 5004,5616
| 2 | 5004, 5616 |
| 2 | 2502, 2808 |
| 3 | 1251, 1404 |
| 3 | 417, 468 |
| 139, 156 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 5004,5616 By Matching Biggest Common Factor Method
Now, list down the factors of 5004
:1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004
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
Greatest Common Factor
We found the factors 5004,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 5004,5616 is 36.
Lets's calculate LCM of 292,8412
| 2 | 292, 8412 |
| 2 | 146, 4206 |
| 73, 2103 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 2103 = 614076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/614076
Therefore, the GCF of Fractions 5004/292,5616/8412 is 36/614076
Least Common Multiple of 292,8412 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 292,8412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,8412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(292,8412) x common factors =4 x 1 = 4
LCM(292,8412) = ( 292 × 8412 ) / 4
LCM(292,8412) = 2456304 / 4
LCM(292,8412) = 614076
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FAQs on GCF of Fractions of 5004/292, 5616/8412
1. What is the HCF of 5004,5616?
The HCF of 5004,5616 is 36
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 5004/292, 5616/8412?
Answer: GCF of Numerators as per given numbers 5004/292, 5616/8412 is
GCF of Numerators i.e. for 5004,5616 is 36
LCM of denominators i.e. for 292,8412 is 614076.
Thus, GCF of Fractions is 36/614076.Finally, GCF of Fractions for 5004/292, 5616/8412 is 36/614076.