GCF of 1832/187, 1640/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1832/187, 1640/649 i.e 8/11033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1832/187, 1640/649.
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 1832/187,1640/649?
Given fractions are 1832/187,1640/649
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 1832/187,1640/649, numerators are 1832,1640
Denominators are 187,649
The GCF of 1832,1640 is 8 .
LCM of 187,649 is 11033.
The greatest common factor of 1832/187,1640/649 = [GCF of 1832,1640]/[LCM of 187,649]= 8/11033
Therefore, the GCF of 1832/187,1640/649 is 8/11033.
To find the highest common factor of 1832,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 1832 are 1, 2, 4, 8, 229, 458, 916, 1832
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 1832,1640 is 8.
Lets's calculate GCF of 1832,1640
| 2 | 1832, 1640 |
| 2 | 916, 820 |
| 2 | 458, 410 |
| 229, 205 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1832,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 1832
:1,2,4,8,229,458,916,1832
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 1832,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 1832,1640 is 8.
Lets's calculate LCM of 187,649
| 11 | 187, 649 |
| 17, 59 |
∴ So the LCM of the given numbers is 11 x 17 x 59 = 11033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/11033
Therefore, the GCF of Fractions 1832/187,1640/649 is 8/11033
Least Common Multiple of 187,649 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 187,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,649) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(187,649) x common factors =11 x 1 = 11
LCM(187,649) = ( 187 × 649 ) / 11
LCM(187,649) = 121363 / 11
LCM(187,649) = 11033
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1832/187, 1640/649
1. What is the HCF of 1832,1640?
The HCF of 1832,1640 is 8
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 1832/187, 1640/649?
Answer: GCF of Numerators as per given numbers 1832/187, 1640/649 is
GCF of Numerators i.e. for 1832,1640 is 8
LCM of denominators i.e. for 187,649 is 11033.
Thus, GCF of Fractions is 8/11033.Finally, GCF of Fractions for 1832/187, 1640/649 is 8/11033.