GCF of 4510/643, 1504/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4510/643, 1504/324 i.e 2/208332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4510/643, 1504/324.
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 4510/643,1504/324?
Given fractions are 4510/643,1504/324
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 4510/643,1504/324, numerators are 4510,1504
Denominators are 643,324
The GCF of 4510,1504 is 2 .
LCM of 643,324 is 208332.
The greatest common factor of 4510/643,1504/324 = [GCF of 4510,1504]/[LCM of 643,324]= 2/208332
Therefore, the GCF of 4510/643,1504/324 is 2/208332.
To find the highest common factor of 4510,1504, we have to find the factors of both numbers and list the highest common factor.
The factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510
The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The HCF of 4510,1504 is 2.
Lets's calculate GCF of 4510,1504
| 2 | 4510, 1504 |
| 2255, 752 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4510,1504 By Matching Biggest Common Factor Method
Now, list down the factors of 4510
:1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510
Now, list down the factors of 1504
:1,2,4,8,16,32,47,94,188,376,752,1504
Greatest Common Factor
We found the factors 4510,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 4510,1504 is 2.
Lets's calculate LCM of 643,324
Given numbers has no common factors except 1. So, there LCM is their product i.e 208332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208332
Therefore, the GCF of Fractions 4510/643,1504/324 is 2/208332
Least Common Multiple of 643,324 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 643,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,324) x common factors =1 x 1 = 1
LCM(643,324) = ( 643 × 324 ) / 1
LCM(643,324) = 208332 / 1
LCM(643,324) = 208332
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FAQs on GCF of Fractions of 4510/643, 1504/324
1. What is the HCF of 4510,1504?
The HCF of 4510,1504 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 4510/643, 1504/324?
Answer: GCF of Numerators as per given numbers 4510/643, 1504/324 is
GCF of Numerators i.e. for 4510,1504 is 2
LCM of denominators i.e. for 643,324 is 208332.
Thus, GCF of Fractions is 2/208332.Finally, GCF of Fractions for 4510/643, 1504/324 is 2/208332.