GCF of 483/680, 8505/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 483/680, 8505/408 i.e 21/2040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/680, 8505/408.
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 483/680,8505/408?
Given fractions are 483/680,8505/408
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 483/680,8505/408, numerators are 483,8505
Denominators are 680,408
The GCF of 483,8505 is 21 .
LCM of 680,408 is 2040.
The greatest common factor of 483/680,8505/408 = [GCF of 483,8505]/[LCM of 680,408]= 21/2040
Therefore, the GCF of 483/680,8505/408 is 21/2040.
To find the highest common factor of 483,8505, we have to find the factors of both numbers and list the highest common factor.
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The HCF of 483,8505 is 21.
Lets's calculate GCF of 483,8505
| 3 | 483, 8505 |
| 7 | 161, 2835 |
| 23, 405 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 483,8505 By Matching Biggest Common Factor Method
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 483,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 483,8505 is 21.
Lets's calculate LCM of 680,408
| 2 | 680, 408 |
| 2 | 340, 204 |
| 2 | 170, 102 |
| 17 | 85, 51 |
| 5, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 5 x 3 = 2040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/2040
Therefore, the GCF of Fractions 483/680,8505/408 is 21/2040
Least Common Multiple of 680,408 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 680,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,408) = 136
common factors(in case of two or more numbers have common factors) = 1
GCF(680,408) x common factors =136 x 1 = 136
LCM(680,408) = ( 680 × 408 ) / 136
LCM(680,408) = 277440 / 136
LCM(680,408) = 2040
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FAQs on GCF of Fractions of 483/680, 8505/408
1. What is the HCF of 483,8505?
The HCF of 483,8505 is 21
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 483/680, 8505/408?
Answer: GCF of Numerators as per given numbers 483/680, 8505/408 is
GCF of Numerators i.e. for 483,8505 is 21
LCM of denominators i.e. for 680,408 is 2040.
Thus, GCF of Fractions is 21/2040.Finally, GCF of Fractions for 483/680, 8505/408 is 21/2040.