GCF of 3166/622, 5973/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3166/622, 5973/576 i.e 1/179136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3166/622, 5973/576.
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 3166/622,5973/576?
Given fractions are 3166/622,5973/576
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 3166/622,5973/576, numerators are 3166,5973
Denominators are 622,576
The GCF of 3166,5973 is 1 .
LCM of 622,576 is 179136.
The greatest common factor of 3166/622,5973/576 = [GCF of 3166,5973]/[LCM of 622,576]= 1/179136
Therefore, the GCF of 3166/622,5973/576 is 1/179136.
To find the highest common factor of 3166,5973, we have to find the factors of both numbers and list the highest common factor.
The factors of 3166 are 1, 2, 1583, 3166
The factors of 5973 are 1, 3, 11, 33, 181, 543, 1991, 5973
The HCF of 3166,5973 is 1.
Lets's calculate GCF of 3166,5973
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3166,5973 By Matching Biggest Common Factor Method
Now, list down the factors of 3166
:1,2,1583,3166
Now, list down the factors of 5973
:1,3,11,33,181,543,1991,5973
Greatest Common Factor
We found the factors 3166,5973 . The biggest common factor number is the GCF number.
So the greatest common factor 3166,5973 is 1.
Lets's calculate LCM of 622,576
| 2 | 622, 576 |
| 311, 288 |
∴ So the LCM of the given numbers is 2 x 311 x 288 = 179136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179136
Therefore, the GCF of Fractions 3166/622,5973/576 is 1/179136
Least Common Multiple of 622,576 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 622,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,576) x common factors =2 x 1 = 2
LCM(622,576) = ( 622 × 576 ) / 2
LCM(622,576) = 358272 / 2
LCM(622,576) = 179136
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FAQs on GCF of Fractions of 3166/622, 5973/576
1. What is the HCF of 3166,5973?
The HCF of 3166,5973 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 3166/622, 5973/576?
Answer: GCF of Numerators as per given numbers 3166/622, 5973/576 is
GCF of Numerators i.e. for 3166,5973 is 1
LCM of denominators i.e. for 622,576 is 179136.
Thus, GCF of Fractions is 1/179136.Finally, GCF of Fractions for 3166/622, 5973/576 is 1/179136.