GCF of 660/358, 481/564, 373/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 660/358, 481/564, 373/483 i.e 1/16253916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/358, 481/564, 373/483.
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 660/358,481/564,373/483?
Given fractions are 660/358,481/564,373/483
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 660/358,481/564,373/483, numerators are 660,481,373
Denominators are 358,564,483
The GCF of 660,481,373 is 1 .
LCM of 358,564,483 is 16253916.
The greatest common factor of 660/358,481/564,373/483 = [GCF of 660,481,373]/[LCM of 358,564,483]= 1/16253916
Therefore, the GCF of 660/358,481/564,373/483 is 1/16253916.
To find the highest common factor of 660,481,373, we have to find the factors of both numbers and list the highest common factor.
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The factors of 481 are 1, 13, 37, 481
The factors of 373 are 1, 373
The HCF of 660,481,373 is 1.
Lets's calculate GCF of 660,481,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 660,481,373 By Matching Biggest Common Factor Method
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 373
:1,373
Greatest Common Factor
We found the factors 660,481,373 . The biggest common factor number is the GCF number.
So the greatest common factor 660,481,373 is 1.
Lets's calculate LCM of 358,564,483
| 2 | 358, 564, 483 |
| 3 | 179, 282, 483 |
| 179, 94, 161 |
∴ So the LCM of the given numbers is 2 x 3 x 179 x 94 x 161 = 16253916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16253916
Therefore, the GCF of Fractions 660/358,481/564,373/483 is 1/16253916
Least Common Multiple of 358,564,483 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 358,564,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,564,483) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(358,564,483) x common factors =1 x 6 = 6
LCM(358,564,483) = ( 358 × 564 × 483 ) / 6
LCM(358,564,483) = 97523496 / 6
LCM(358,564,483) = 16253916
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FAQs on GCF of Fractions of 660/358, 481/564, 373/483
1. What is the HCF of 660,481,373?
The HCF of 660,481,373 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 660/358, 481/564, 373/483?
Answer: GCF of Numerators as per given numbers 660/358, 481/564, 373/483 is
GCF of Numerators i.e. for 660,481,373 is 1
LCM of denominators i.e. for 358,564,483 is 16253916.
Thus, GCF of Fractions is 1/16253916.Finally, GCF of Fractions for 660/358, 481/564, 373/483 is 1/16253916.