GCF of 181/360, 443/477, 221/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 181/360, 443/477, 221/971 i.e 1/18526680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/360, 443/477, 221/971.
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 181/360,443/477,221/971?
Given fractions are 181/360,443/477,221/971
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 181/360,443/477,221/971, numerators are 181,443,221
Denominators are 360,477,971
The GCF of 181,443,221 is 1 .
LCM of 360,477,971 is 18526680.
The greatest common factor of 181/360,443/477,221/971 = [GCF of 181,443,221]/[LCM of 360,477,971]= 1/18526680
Therefore, the GCF of 181/360,443/477,221/971 is 1/18526680.
To find the highest common factor of 181,443,221, 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 443 are 1, 443
The factors of 221 are 1, 13, 17, 221
The HCF of 181,443,221 is 1.
Lets's calculate GCF of 181,443,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 181,443,221 By Matching Biggest Common Factor Method
Now, list down the factors of 181
:1,181
Now, list down the factors of 443
:1,443
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 181,443,221 . The biggest common factor number is the GCF number.
So the greatest common factor 181,443,221 is 1.
Lets's calculate LCM of 360,477,971
| 3 | 360, 477, 971 |
| 3 | 120, 159, 971 |
| 40, 53, 971 |
∴ So the LCM of the given numbers is 3 x 3 x 40 x 53 x 971 = 18526680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18526680
Therefore, the GCF of Fractions 181/360,443/477,221/971 is 1/18526680
Least Common Multiple of 360,477,971 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 360,477,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,477,971) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(360,477,971) x common factors =1 x 9 = 9
LCM(360,477,971) = ( 360 × 477 × 971 ) / 9
LCM(360,477,971) = 166740120 / 9
LCM(360,477,971) = 18526680
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FAQs on GCF of Fractions of 181/360, 443/477, 221/971
1. What is the HCF of 181,443,221?
The HCF of 181,443,221 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 181/360, 443/477, 221/971?
Answer: GCF of Numerators as per given numbers 181/360, 443/477, 221/971 is
GCF of Numerators i.e. for 181,443,221 is 1
LCM of denominators i.e. for 360,477,971 is 18526680.
Thus, GCF of Fractions is 1/18526680.Finally, GCF of Fractions for 181/360, 443/477, 221/971 is 1/18526680.