GCF of 1640/792, 8190/1615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1640/792, 8190/1615 i.e 10/1279080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1640/792, 8190/1615.
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 1640/792,8190/1615?
Given fractions are 1640/792,8190/1615
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 1640/792,8190/1615, numerators are 1640,8190
Denominators are 792,1615
The GCF of 1640,8190 is 10 .
LCM of 792,1615 is 1279080.
The greatest common factor of 1640/792,8190/1615 = [GCF of 1640,8190]/[LCM of 792,1615]= 10/1279080
Therefore, the GCF of 1640/792,8190/1615 is 10/1279080.
To find the highest common factor of 1640,8190, we have to find the factors of both numbers and list the highest common factor.
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
The HCF of 1640,8190 is 10.
Lets's calculate GCF of 1640,8190
| 2 | 1640, 8190 |
| 5 | 820, 4095 |
| 164, 819 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1640,8190 By Matching Biggest Common Factor Method
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Now, list down the factors of 8190
:1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Greatest Common Factor
We found the factors 1640,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 1640,8190 is 10.
Lets's calculate LCM of 792,1615
Given numbers has no common factors except 1. So, there LCM is their product i.e 1279080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1279080
Therefore, the GCF of Fractions 1640/792,8190/1615 is 10/1279080
Least Common Multiple of 792,1615 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 792,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,1615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(792,1615) x common factors =1 x 1 = 1
LCM(792,1615) = ( 792 × 1615 ) / 1
LCM(792,1615) = 1279080 / 1
LCM(792,1615) = 1279080
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1640/792, 8190/1615
1. What is the HCF of 1640,8190?
The HCF of 1640,8190 is 10
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 1640/792, 8190/1615?
Answer: GCF of Numerators as per given numbers 1640/792, 8190/1615 is
GCF of Numerators i.e. for 1640,8190 is 10
LCM of denominators i.e. for 792,1615 is 1279080.
Thus, GCF of Fractions is 10/1279080.Finally, GCF of Fractions for 1640/792, 8190/1615 is 10/1279080.