GCF of 1660/298, 1885/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1660/298, 1885/575 i.e 5/171350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1660/298, 1885/575.
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 1660/298,1885/575?
Given fractions are 1660/298,1885/575
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 1660/298,1885/575, numerators are 1660,1885
Denominators are 298,575
The GCF of 1660,1885 is 5 .
LCM of 298,575 is 171350.
The greatest common factor of 1660/298,1885/575 = [GCF of 1660,1885]/[LCM of 298,575]= 5/171350
Therefore, the GCF of 1660/298,1885/575 is 5/171350.
To find the highest common factor of 1660,1885, we have to find the factors of both numbers and list the highest common factor.
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885
The HCF of 1660,1885 is 5.
Lets's calculate GCF of 1660,1885
| 5 | 1660, 1885 |
| 332, 377 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1660,1885 By Matching Biggest Common Factor Method
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Now, list down the factors of 1885
:1,5,13,29,65,145,377,1885
Greatest Common Factor
We found the factors 1660,1885 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,1885 is 5.
Lets's calculate LCM of 298,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 171350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/171350
Therefore, the GCF of Fractions 1660/298,1885/575 is 5/171350
Least Common Multiple of 298,575 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 298,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,575) x common factors =1 x 1 = 1
LCM(298,575) = ( 298 × 575 ) / 1
LCM(298,575) = 171350 / 1
LCM(298,575) = 171350
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FAQs on GCF of Fractions of 1660/298, 1885/575
1. What is the HCF of 1660,1885?
The HCF of 1660,1885 is 5
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 1660/298, 1885/575?
Answer: GCF of Numerators as per given numbers 1660/298, 1885/575 is
GCF of Numerators i.e. for 1660,1885 is 5
LCM of denominators i.e. for 298,575 is 171350.
Thus, GCF of Fractions is 5/171350.Finally, GCF of Fractions for 1660/298, 1885/575 is 5/171350.