GCF of 7704/731, 2304/2535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7704/731, 2304/2535 i.e 72/1853085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7704/731, 2304/2535.
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 7704/731,2304/2535?
Given fractions are 7704/731,2304/2535
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 7704/731,2304/2535, numerators are 7704,2304
Denominators are 731,2535
The GCF of 7704,2304 is 72 .
LCM of 731,2535 is 1853085.
The greatest common factor of 7704/731,2304/2535 = [GCF of 7704,2304]/[LCM of 731,2535]= 72/1853085
Therefore, the GCF of 7704/731,2304/2535 is 72/1853085.
To find the highest common factor of 7704,2304, we have to find the factors of both numbers and list the highest common factor.
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304
The HCF of 7704,2304 is 72.
Lets's calculate GCF of 7704,2304
| 2 | 7704, 2304 |
| 2 | 3852, 1152 |
| 2 | 1926, 576 |
| 3 | 963, 288 |
| 3 | 321, 96 |
| 107, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 7704,2304 By Matching Biggest Common Factor Method
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Now, list down the factors of 2304
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304
Greatest Common Factor
We found the factors 7704,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 7704,2304 is 72.
Lets's calculate LCM of 731,2535
Given numbers has no common factors except 1. So, there LCM is their product i.e 1853085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/1853085
Therefore, the GCF of Fractions 7704/731,2304/2535 is 72/1853085
Least Common Multiple of 731,2535 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 731,2535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,2535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,2535) x common factors =1 x 1 = 1
LCM(731,2535) = ( 731 × 2535 ) / 1
LCM(731,2535) = 1853085 / 1
LCM(731,2535) = 1853085
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7704/731, 2304/2535
1. What is the HCF of 7704,2304?
The HCF of 7704,2304 is 72
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 7704/731, 2304/2535?
Answer: GCF of Numerators as per given numbers 7704/731, 2304/2535 is
GCF of Numerators i.e. for 7704,2304 is 72
LCM of denominators i.e. for 731,2535 is 1853085.
Thus, GCF of Fractions is 72/1853085.Finally, GCF of Fractions for 7704/731, 2304/2535 is 72/1853085.