GCF of 43/992, 660/623, 483/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/992, 660/623, 483/856 i.e 1/66127712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/992, 660/623, 483/856.
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 43/992,660/623,483/856?
Given fractions are 43/992,660/623,483/856
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 43/992,660/623,483/856, numerators are 43,660,483
Denominators are 992,623,856
The GCF of 43,660,483 is 1 .
LCM of 992,623,856 is 66127712.
The greatest common factor of 43/992,660/623,483/856 = [GCF of 43,660,483]/[LCM of 992,623,856]= 1/66127712
Therefore, the GCF of 43/992,660/623,483/856 is 1/66127712.
To find the highest common factor of 43,660,483, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
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 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 43,660,483 is 1.
Lets's calculate GCF of 43,660,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,660,483 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
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 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 43,660,483 . The biggest common factor number is the GCF number.
So the greatest common factor 43,660,483 is 1.
Lets's calculate LCM of 992,623,856
| 2 | 992, 623, 856 |
| 2 | 496, 623, 428 |
| 2 | 248, 623, 214 |
| 124, 623, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 623 x 107 = 66127712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66127712
Therefore, the GCF of Fractions 43/992,660/623,483/856 is 1/66127712
Least Common Multiple of 992,623,856 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 992,623,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,623,856) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(992,623,856) x common factors =1 x 8 = 8
LCM(992,623,856) = ( 992 × 623 × 856 ) / 8
LCM(992,623,856) = 529021696 / 8
LCM(992,623,856) = 66127712
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 43/992, 660/623, 483/856
1. What is the HCF of 43,660,483?
The HCF of 43,660,483 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 43/992, 660/623, 483/856?
Answer: GCF of Numerators as per given numbers 43/992, 660/623, 483/856 is
GCF of Numerators i.e. for 43,660,483 is 1
LCM of denominators i.e. for 992,623,856 is 66127712.
Thus, GCF of Fractions is 1/66127712.Finally, GCF of Fractions for 43/992, 660/623, 483/856 is 1/66127712.