GCF of 2737/904, 2576/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2737/904, 2576/771 i.e 161/696984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2737/904, 2576/771.
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 2737/904,2576/771?
Given fractions are 2737/904,2576/771
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 2737/904,2576/771, numerators are 2737,2576
Denominators are 904,771
The GCF of 2737,2576 is 161 .
LCM of 904,771 is 696984.
The greatest common factor of 2737/904,2576/771 = [GCF of 2737,2576]/[LCM of 904,771]= 161/696984
Therefore, the GCF of 2737/904,2576/771 is 161/696984.
To find the highest common factor of 2737,2576, we have to find the factors of both numbers and list the highest common factor.
The factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737
The factors of 2576 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288, 2576
The HCF of 2737,2576 is 161.
Lets's calculate GCF of 2737,2576
| 7 | 2737, 2576 |
| 23 | 391, 368 |
| 17, 16 |
∴ So the GCF of the given numbers is 7 x 23 = 161
Greatest Common Factor of 2737,2576 By Matching Biggest Common Factor Method
Now, list down the factors of 2737
:1,7,17,23,119,161,391,2737
Now, list down the factors of 2576
:1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576
Greatest Common Factor
We found the factors 2737,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 2737,2576 is 161.
Lets's calculate LCM of 904,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 696984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 161/696984
Therefore, the GCF of Fractions 2737/904,2576/771 is 161/696984
Least Common Multiple of 904,771 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 904,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,771) x common factors =1 x 1 = 1
LCM(904,771) = ( 904 × 771 ) / 1
LCM(904,771) = 696984 / 1
LCM(904,771) = 696984
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FAQs on GCF of Fractions of 2737/904, 2576/771
1. What is the HCF of 2737,2576?
The HCF of 2737,2576 is 161
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 2737/904, 2576/771?
Answer: GCF of Numerators as per given numbers 2737/904, 2576/771 is
GCF of Numerators i.e. for 2737,2576 is 161
LCM of denominators i.e. for 904,771 is 696984.
Thus, GCF of Fractions is 161/696984.Finally, GCF of Fractions for 2737/904, 2576/771 is 161/696984.