GCF of 54/404, 274/248, 125/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 54/404, 274/248, 125/434 i.e 1/175336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/404, 274/248, 125/434.
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 54/404,274/248,125/434?
Given fractions are 54/404,274/248,125/434
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 54/404,274/248,125/434, numerators are 54,274,125
Denominators are 404,248,434
The GCF of 54,274,125 is 1 .
LCM of 404,248,434 is 175336.
The greatest common factor of 54/404,274/248,125/434 = [GCF of 54,274,125]/[LCM of 404,248,434]= 1/175336
Therefore, the GCF of 54/404,274/248,125/434 is 1/175336.
To find the highest common factor of 54,274,125, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 274 are 1, 2, 137, 274
The factors of 125 are 1, 5, 25, 125
The HCF of 54,274,125 is 1.
Lets's calculate GCF of 54,274,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 54,274,125 By Matching Biggest Common Factor Method
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 274
:1,2,137,274
Now, list down the factors of 125
:1,5,25,125
Greatest Common Factor
We found the factors 54,274,125 . The biggest common factor number is the GCF number.
So the greatest common factor 54,274,125 is 1.
Lets's calculate LCM of 404,248,434
| 2 | 404, 248, 434 |
| 2 | 202, 124, 217 |
| 31 | 101, 62, 217 |
| 101, 2, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 101 x 2 x 7 = 175336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175336
Therefore, the GCF of Fractions 54/404,274/248,125/434 is 1/175336
Least Common Multiple of 404,248,434 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 404,248,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,248,434) = 2
common factors(in case of two or more numbers have common factors) = 124
GCF(404,248,434) x common factors =2 x 124 = 248
LCM(404,248,434) = ( 404 × 248 × 434 ) / 248
LCM(404,248,434) = 43483328 / 248
LCM(404,248,434) = 175336
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FAQs on GCF of Fractions of 54/404, 274/248, 125/434
1. What is the HCF of 54,274,125?
The HCF of 54,274,125 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 54/404, 274/248, 125/434?
Answer: GCF of Numerators as per given numbers 54/404, 274/248, 125/434 is
GCF of Numerators i.e. for 54,274,125 is 1
LCM of denominators i.e. for 404,248,434 is 175336.
Thus, GCF of Fractions is 1/175336.Finally, GCF of Fractions for 54/404, 274/248, 125/434 is 1/175336.