GCF of 28/976, 55/322, 542/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/976, 55/322, 542/804 i.e 1/31584336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/976, 55/322, 542/804.
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 28/976,55/322,542/804?
Given fractions are 28/976,55/322,542/804
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 28/976,55/322,542/804, numerators are 28,55,542
Denominators are 976,322,804
The GCF of 28,55,542 is 1 .
LCM of 976,322,804 is 31584336.
The greatest common factor of 28/976,55/322,542/804 = [GCF of 28,55,542]/[LCM of 976,322,804]= 1/31584336
Therefore, the GCF of 28/976,55/322,542/804 is 1/31584336.
To find the highest common factor of 28,55,542, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 55 are 1, 5, 11, 55
The factors of 542 are 1, 2, 271, 542
The HCF of 28,55,542 is 1.
Lets's calculate GCF of 28,55,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,55,542 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 28,55,542 . The biggest common factor number is the GCF number.
So the greatest common factor 28,55,542 is 1.
Lets's calculate LCM of 976,322,804
| 2 | 976, 322, 804 |
| 2 | 488, 161, 402 |
| 244, 161, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 161 x 201 = 31584336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31584336
Therefore, the GCF of Fractions 28/976,55/322,542/804 is 1/31584336
Least Common Multiple of 976,322,804 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 976,322,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,322,804) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(976,322,804) x common factors =2 x 4 = 8
LCM(976,322,804) = ( 976 × 322 × 804 ) / 8
LCM(976,322,804) = 252674688 / 8
LCM(976,322,804) = 31584336
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FAQs on GCF of Fractions of 28/976, 55/322, 542/804
1. What is the HCF of 28,55,542?
The HCF of 28,55,542 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 28/976, 55/322, 542/804?
Answer: GCF of Numerators as per given numbers 28/976, 55/322, 542/804 is
GCF of Numerators i.e. for 28,55,542 is 1
LCM of denominators i.e. for 976,322,804 is 31584336.
Thus, GCF of Fractions is 1/31584336.Finally, GCF of Fractions for 28/976, 55/322, 542/804 is 1/31584336.