GCF of 2542/123, 1457/327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2542/123, 1457/327 i.e 31/13407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2542/123, 1457/327.
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 2542/123,1457/327?
Given fractions are 2542/123,1457/327
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 2542/123,1457/327, numerators are 2542,1457
Denominators are 123,327
The GCF of 2542,1457 is 31 .
LCM of 123,327 is 13407.
The greatest common factor of 2542/123,1457/327 = [GCF of 2542,1457]/[LCM of 123,327]= 31/13407
Therefore, the GCF of 2542/123,1457/327 is 31/13407.
To find the highest common factor of 2542,1457, we have to find the factors of both numbers and list the highest common factor.
The factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542
The factors of 1457 are 1, 31, 47, 1457
The HCF of 2542,1457 is 31.
Lets's calculate GCF of 2542,1457
| 31 | 2542, 1457 |
| 82, 47 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2542,1457 By Matching Biggest Common Factor Method
Now, list down the factors of 2542
:1,2,31,41,62,82,1271,2542
Now, list down the factors of 1457
:1,31,47,1457
Greatest Common Factor
We found the factors 2542,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 2542,1457 is 31.
Lets's calculate LCM of 123,327
| 3 | 123, 327 |
| 41, 109 |
∴ So the LCM of the given numbers is 3 x 41 x 109 = 13407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/13407
Therefore, the GCF of Fractions 2542/123,1457/327 is 31/13407
Least Common Multiple of 123,327 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 123,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,327) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,327) x common factors =3 x 1 = 3
LCM(123,327) = ( 123 × 327 ) / 3
LCM(123,327) = 40221 / 3
LCM(123,327) = 13407
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FAQs on GCF of Fractions of 2542/123, 1457/327
1. What is the HCF of 2542,1457?
The HCF of 2542,1457 is 31
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 2542/123, 1457/327?
Answer: GCF of Numerators as per given numbers 2542/123, 1457/327 is
GCF of Numerators i.e. for 2542,1457 is 31
LCM of denominators i.e. for 123,327 is 13407.
Thus, GCF of Fractions is 31/13407.Finally, GCF of Fractions for 2542/123, 1457/327 is 31/13407.