GCF of 462/727, 6600/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/727, 6600/605 i.e 66/439835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/727, 6600/605.
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 462/727,6600/605?
Given fractions are 462/727,6600/605
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 462/727,6600/605, numerators are 462,6600
Denominators are 727,605
The GCF of 462,6600 is 66 .
LCM of 727,605 is 439835.
The greatest common factor of 462/727,6600/605 = [GCF of 462,6600]/[LCM of 727,605]= 66/439835
Therefore, the GCF of 462/727,6600/605 is 66/439835.
To find the highest common factor of 462,6600, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600
The HCF of 462,6600 is 66.
Lets's calculate GCF of 462,6600
| 2 | 462, 6600 |
| 3 | 231, 3300 |
| 11 | 77, 1100 |
| 7, 100 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 462,6600 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 6600
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Greatest Common Factor
We found the factors 462,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 462,6600 is 66.
Lets's calculate LCM of 727,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 439835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/439835
Therefore, the GCF of Fractions 462/727,6600/605 is 66/439835
Least Common Multiple of 727,605 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 727,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,605) x common factors =1 x 1 = 1
LCM(727,605) = ( 727 × 605 ) / 1
LCM(727,605) = 439835 / 1
LCM(727,605) = 439835
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FAQs on GCF of Fractions of 462/727, 6600/605
1. What is the HCF of 462,6600?
The HCF of 462,6600 is 66
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 462/727, 6600/605?
Answer: GCF of Numerators as per given numbers 462/727, 6600/605 is
GCF of Numerators i.e. for 462,6600 is 66
LCM of denominators i.e. for 727,605 is 439835.
Thus, GCF of Fractions is 66/439835.Finally, GCF of Fractions for 462/727, 6600/605 is 66/439835.