GCF of 1838/606, 9915/8055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1838/606, 9915/8055 i.e 1/1627110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1838/606, 9915/8055.
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 1838/606,9915/8055?
Given fractions are 1838/606,9915/8055
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 1838/606,9915/8055, numerators are 1838,9915
Denominators are 606,8055
The GCF of 1838,9915 is 1 .
LCM of 606,8055 is 1627110.
The greatest common factor of 1838/606,9915/8055 = [GCF of 1838,9915]/[LCM of 606,8055]= 1/1627110
Therefore, the GCF of 1838/606,9915/8055 is 1/1627110.
To find the highest common factor of 1838,9915, we have to find the factors of both numbers and list the highest common factor.
The factors of 1838 are 1, 2, 919, 1838
The factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915
The HCF of 1838,9915 is 1.
Lets's calculate GCF of 1838,9915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1838,9915 By Matching Biggest Common Factor Method
Now, list down the factors of 1838
:1,2,919,1838
Now, list down the factors of 9915
:1,3,5,15,661,1983,3305,9915
Greatest Common Factor
We found the factors 1838,9915 . The biggest common factor number is the GCF number.
So the greatest common factor 1838,9915 is 1.
Lets's calculate LCM of 606,8055
| 3 | 606, 8055 |
| 202, 2685 |
∴ So the LCM of the given numbers is 3 x 202 x 2685 = 1627110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1627110
Therefore, the GCF of Fractions 1838/606,9915/8055 is 1/1627110
Least Common Multiple of 606,8055 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 606,8055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,8055) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(606,8055) x common factors =3 x 1 = 3
LCM(606,8055) = ( 606 × 8055 ) / 3
LCM(606,8055) = 4881330 / 3
LCM(606,8055) = 1627110
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FAQs on GCF of Fractions of 1838/606, 9915/8055
1. What is the HCF of 1838,9915?
The HCF of 1838,9915 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 1838/606, 9915/8055?
Answer: GCF of Numerators as per given numbers 1838/606, 9915/8055 is
GCF of Numerators i.e. for 1838,9915 is 1
LCM of denominators i.e. for 606,8055 is 1627110.
Thus, GCF of Fractions is 1/1627110.Finally, GCF of Fractions for 1838/606, 9915/8055 is 1/1627110.