GCF of 1738/288, 8165/2790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1738/288, 8165/2790 i.e 1/44640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1738/288, 8165/2790.
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 1738/288,8165/2790?
Given fractions are 1738/288,8165/2790
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 1738/288,8165/2790, numerators are 1738,8165
Denominators are 288,2790
The GCF of 1738,8165 is 1 .
LCM of 288,2790 is 44640.
The greatest common factor of 1738/288,8165/2790 = [GCF of 1738,8165]/[LCM of 288,2790]= 1/44640
Therefore, the GCF of 1738/288,8165/2790 is 1/44640.
To find the highest common factor of 1738,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 1738,8165 is 1.
Lets's calculate GCF of 1738,8165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1738,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 1738
:1,2,11,22,79,158,869,1738
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 1738,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 1738,8165 is 1.
Lets's calculate LCM of 288,2790
| 2 | 288, 2790 |
| 3 | 144, 1395 |
| 3 | 48, 465 |
| 16, 155 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 155 = 44640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44640
Therefore, the GCF of Fractions 1738/288,8165/2790 is 1/44640
Least Common Multiple of 288,2790 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 288,2790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,2790) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(288,2790) x common factors =18 x 1 = 18
LCM(288,2790) = ( 288 × 2790 ) / 18
LCM(288,2790) = 803520 / 18
LCM(288,2790) = 44640
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FAQs on GCF of Fractions of 1738/288, 8165/2790
1. What is the HCF of 1738,8165?
The HCF of 1738,8165 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 1738/288, 8165/2790?
Answer: GCF of Numerators as per given numbers 1738/288, 8165/2790 is
GCF of Numerators i.e. for 1738,8165 is 1
LCM of denominators i.e. for 288,2790 is 44640.
Thus, GCF of Fractions is 1/44640.Finally, GCF of Fractions for 1738/288, 8165/2790 is 1/44640.