GCF of 7323/192, 5628/2497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7323/192, 5628/2497 i.e 3/479424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7323/192, 5628/2497.
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 7323/192,5628/2497?
Given fractions are 7323/192,5628/2497
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 7323/192,5628/2497, numerators are 7323,5628
Denominators are 192,2497
The GCF of 7323,5628 is 3 .
LCM of 192,2497 is 479424.
The greatest common factor of 7323/192,5628/2497 = [GCF of 7323,5628]/[LCM of 192,2497]= 3/479424
Therefore, the GCF of 7323/192,5628/2497 is 3/479424.
To find the highest common factor of 7323,5628, we have to find the factors of both numbers and list the highest common factor.
The factors of 7323 are 1, 3, 2441, 7323
The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628
The HCF of 7323,5628 is 3.
Lets's calculate GCF of 7323,5628
| 3 | 7323, 5628 |
| 2441, 1876 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7323,5628 By Matching Biggest Common Factor Method
Now, list down the factors of 7323
:1,3,2441,7323
Now, list down the factors of 5628
:1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Greatest Common Factor
We found the factors 7323,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 7323,5628 is 3.
Lets's calculate LCM of 192,2497
Given numbers has no common factors except 1. So, there LCM is their product i.e 479424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/479424
Therefore, the GCF of Fractions 7323/192,5628/2497 is 3/479424
Least Common Multiple of 192,2497 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 192,2497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,2497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,2497) x common factors =1 x 1 = 1
LCM(192,2497) = ( 192 × 2497 ) / 1
LCM(192,2497) = 479424 / 1
LCM(192,2497) = 479424
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FAQs on GCF of Fractions of 7323/192, 5628/2497
1. What is the HCF of 7323,5628?
The HCF of 7323,5628 is 3
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 7323/192, 5628/2497?
Answer: GCF of Numerators as per given numbers 7323/192, 5628/2497 is
GCF of Numerators i.e. for 7323,5628 is 3
LCM of denominators i.e. for 192,2497 is 479424.
Thus, GCF of Fractions is 3/479424.Finally, GCF of Fractions for 7323/192, 5628/2497 is 3/479424.