GCF of 2436/804, 5313/936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2436/804, 5313/936 i.e 21/62712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2436/804, 5313/936.
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 2436/804,5313/936?
Given fractions are 2436/804,5313/936
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 2436/804,5313/936, numerators are 2436,5313
Denominators are 804,936
The GCF of 2436,5313 is 21 .
LCM of 804,936 is 62712.
The greatest common factor of 2436/804,5313/936 = [GCF of 2436,5313]/[LCM of 804,936]= 21/62712
Therefore, the GCF of 2436/804,5313/936 is 21/62712.
To find the highest common factor of 2436,5313, we have to find the factors of both numbers and list the highest common factor.
The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
The factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313
The HCF of 2436,5313 is 21.
Lets's calculate GCF of 2436,5313
| 3 | 2436, 5313 |
| 7 | 812, 1771 |
| 116, 253 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 2436,5313 By Matching Biggest Common Factor Method
Now, list down the factors of 2436
:1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Now, list down the factors of 5313
:1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313
Greatest Common Factor
We found the factors 2436,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,5313 is 21.
Lets's calculate LCM of 804,936
| 2 | 804, 936 |
| 2 | 402, 468 |
| 3 | 201, 234 |
| 67, 78 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 78 = 62712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/62712
Therefore, the GCF of Fractions 2436/804,5313/936 is 21/62712
Least Common Multiple of 804,936 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 804,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,936) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(804,936) x common factors =12 x 1 = 12
LCM(804,936) = ( 804 × 936 ) / 12
LCM(804,936) = 752544 / 12
LCM(804,936) = 62712
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FAQs on GCF of Fractions of 2436/804, 5313/936
1. What is the HCF of 2436,5313?
The HCF of 2436,5313 is 21
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 2436/804, 5313/936?
Answer: GCF of Numerators as per given numbers 2436/804, 5313/936 is
GCF of Numerators i.e. for 2436,5313 is 21
LCM of denominators i.e. for 804,936 is 62712.
Thus, GCF of Fractions is 21/62712.Finally, GCF of Fractions for 2436/804, 5313/936 is 21/62712.