GCF of 181/42, 372/27, 257/96
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 181/42, 372/27, 257/96 i.e 1/6048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/42, 372/27, 257/96.
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 181/42,372/27,257/96?
Given fractions are 181/42,372/27,257/96
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 181/42,372/27,257/96, numerators are 181,372,257
Denominators are 42,27,96
The GCF of 181,372,257 is 1 .
LCM of 42,27,96 is 6048.
The greatest common factor of 181/42,372/27,257/96 = [GCF of 181,372,257]/[LCM of 42,27,96]= 1/6048
Therefore, the GCF of 181/42,372/27,257/96 is 1/6048.
To find the highest common factor of 181,372,257, we have to find the factors of both numbers and list the highest common factor.
The factors of 181 are 1, 181
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The factors of 257 are 1, 257
The HCF of 181,372,257 is 1.
Lets's calculate GCF of 181,372,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 181,372,257 By Matching Biggest Common Factor Method
Now, list down the factors of 181
:1,181
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 181,372,257 . The biggest common factor number is the GCF number.
So the greatest common factor 181,372,257 is 1.
Lets's calculate LCM of 42,27,96
| 2 | 42, 27, 96 |
| 3 | 21, 27, 48 |
| 7, 9, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 9 x 16 = 6048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6048
Therefore, the GCF of Fractions 181/42,372/27,257/96 is 1/6048
Least Common Multiple of 42,27,96 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 42,27,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,27,96) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(42,27,96) x common factors =3 x 6 = 18
LCM(42,27,96) = ( 42 × 27 × 96 ) / 18
LCM(42,27,96) = 108864 / 18
LCM(42,27,96) = 6048
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FAQs on GCF of Fractions of 181/42, 372/27, 257/96
1. What is the HCF of 181,372,257?
The HCF of 181,372,257 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 181/42, 372/27, 257/96?
Answer: GCF of Numerators as per given numbers 181/42, 372/27, 257/96 is
GCF of Numerators i.e. for 181,372,257 is 1
LCM of denominators i.e. for 42,27,96 is 6048.
Thus, GCF of Fractions is 1/6048.Finally, GCF of Fractions for 181/42, 372/27, 257/96 is 1/6048.