GCF of 2121/510, 2577/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2121/510, 2577/512 i.e 3/130560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2121/510, 2577/512.
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 2121/510,2577/512?
Given fractions are 2121/510,2577/512
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 2121/510,2577/512, numerators are 2121,2577
Denominators are 510,512
The GCF of 2121,2577 is 3 .
LCM of 510,512 is 130560.
The greatest common factor of 2121/510,2577/512 = [GCF of 2121,2577]/[LCM of 510,512]= 3/130560
Therefore, the GCF of 2121/510,2577/512 is 3/130560.
To find the highest common factor of 2121,2577, we have to find the factors of both numbers and list the highest common factor.
The factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121
The factors of 2577 are 1, 3, 859, 2577
The HCF of 2121,2577 is 3.
Lets's calculate GCF of 2121,2577
| 3 | 2121, 2577 |
| 707, 859 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2121,2577 By Matching Biggest Common Factor Method
Now, list down the factors of 2121
:1,3,7,21,101,303,707,2121
Now, list down the factors of 2577
:1,3,859,2577
Greatest Common Factor
We found the factors 2121,2577 . The biggest common factor number is the GCF number.
So the greatest common factor 2121,2577 is 3.
Lets's calculate LCM of 510,512
| 2 | 510, 512 |
| 255, 256 |
∴ So the LCM of the given numbers is 2 x 255 x 256 = 130560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/130560
Therefore, the GCF of Fractions 2121/510,2577/512 is 3/130560
Least Common Multiple of 510,512 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 510,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,512) x common factors =2 x 1 = 2
LCM(510,512) = ( 510 × 512 ) / 2
LCM(510,512) = 261120 / 2
LCM(510,512) = 130560
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FAQs on GCF of Fractions of 2121/510, 2577/512
1. What is the HCF of 2121,2577?
The HCF of 2121,2577 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 2121/510, 2577/512?
Answer: GCF of Numerators as per given numbers 2121/510, 2577/512 is
GCF of Numerators i.e. for 2121,2577 is 3
LCM of denominators i.e. for 510,512 is 130560.
Thus, GCF of Fractions is 3/130560.Finally, GCF of Fractions for 2121/510, 2577/512 is 3/130560.