GCF of 57/483, 49/322, 424/296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 57/483, 49/322, 424/296 i.e 1/142968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/483, 49/322, 424/296.
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 57/483,49/322,424/296?
Given fractions are 57/483,49/322,424/296
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 57/483,49/322,424/296, numerators are 57,49,424
Denominators are 483,322,296
The GCF of 57,49,424 is 1 .
LCM of 483,322,296 is 142968.
The greatest common factor of 57/483,49/322,424/296 = [GCF of 57,49,424]/[LCM of 483,322,296]= 1/142968
Therefore, the GCF of 57/483,49/322,424/296 is 1/142968.
To find the highest common factor of 57,49,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 49 are 1, 7, 49
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 57,49,424 is 1.
Lets's calculate GCF of 57,49,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 57,49,424 By Matching Biggest Common Factor Method
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 57,49,424 . The biggest common factor number is the GCF number.
So the greatest common factor 57,49,424 is 1.
Lets's calculate LCM of 483,322,296
| 2 | 483, 322, 296 |
| 7 | 483, 161, 148 |
| 23 | 69, 23, 148 |
| 3, 1, 148 |
∴ So the LCM of the given numbers is 2 x 7 x 23 x 3 x 1 x 148 = 142968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142968
Therefore, the GCF of Fractions 57/483,49/322,424/296 is 1/142968
Least Common Multiple of 483,322,296 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 483,322,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,322,296) = 1
common factors(in case of two or more numbers have common factors) = 322
GCF(483,322,296) x common factors =1 x 322 = 322
LCM(483,322,296) = ( 483 × 322 × 296 ) / 322
LCM(483,322,296) = 46035696 / 322
LCM(483,322,296) = 142968
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FAQs on GCF of Fractions of 57/483, 49/322, 424/296
1. What is the HCF of 57,49,424?
The HCF of 57,49,424 is 1
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 57/483, 49/322, 424/296?
Answer: GCF of Numerators as per given numbers 57/483, 49/322, 424/296 is
GCF of Numerators i.e. for 57,49,424 is 1
LCM of denominators i.e. for 483,322,296 is 142968.
Thus, GCF of Fractions is 1/142968.Finally, GCF of Fractions for 57/483, 49/322, 424/296 is 1/142968.