GCF of 28/842, 68/542, 291/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/842, 68/542, 291/971 i.e 1/221564722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/842, 68/542, 291/971.
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 28/842,68/542,291/971?
Given fractions are 28/842,68/542,291/971
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 28/842,68/542,291/971, numerators are 28,68,291
Denominators are 842,542,971
The GCF of 28,68,291 is 1 .
LCM of 842,542,971 is 221564722.
The greatest common factor of 28/842,68/542,291/971 = [GCF of 28,68,291]/[LCM of 842,542,971]= 1/221564722
Therefore, the GCF of 28/842,68/542,291/971 is 1/221564722.
To find the highest common factor of 28,68,291, 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 68 are 1, 2, 4, 17, 34, 68
The factors of 291 are 1, 3, 97, 291
The HCF of 28,68,291 is 1.
Lets's calculate GCF of 28,68,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,68,291 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 68
:1,2,4,17,34,68
Now, list down the factors of 291
:1,3,97,291
Greatest Common Factor
We found the factors 28,68,291 . The biggest common factor number is the GCF number.
So the greatest common factor 28,68,291 is 1.
Lets's calculate LCM of 842,542,971
| 2 | 842, 542, 971 |
| 421, 271, 971 |
∴ So the LCM of the given numbers is 2 x 421 x 271 x 971 = 221564722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221564722
Therefore, the GCF of Fractions 28/842,68/542,291/971 is 1/221564722
Least Common Multiple of 842,542,971 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 842,542,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,542,971) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(842,542,971) x common factors =1 x 2 = 2
LCM(842,542,971) = ( 842 × 542 × 971 ) / 2
LCM(842,542,971) = 443129444 / 2
LCM(842,542,971) = 221564722
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FAQs on GCF of Fractions of 28/842, 68/542, 291/971
1. What is the HCF of 28,68,291?
The HCF of 28,68,291 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 28/842, 68/542, 291/971?
Answer: GCF of Numerators as per given numbers 28/842, 68/542, 291/971 is
GCF of Numerators i.e. for 28,68,291 is 1
LCM of denominators i.e. for 842,542,971 is 221564722.
Thus, GCF of Fractions is 1/221564722.Finally, GCF of Fractions for 28/842, 68/542, 291/971 is 1/221564722.