GCF of 2038/885, 1005/9675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2038/885, 1005/9675 i.e 1/570825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2038/885, 1005/9675.
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 2038/885,1005/9675?
Given fractions are 2038/885,1005/9675
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 2038/885,1005/9675, numerators are 2038,1005
Denominators are 885,9675
The GCF of 2038,1005 is 1 .
LCM of 885,9675 is 570825.
The greatest common factor of 2038/885,1005/9675 = [GCF of 2038,1005]/[LCM of 885,9675]= 1/570825
Therefore, the GCF of 2038/885,1005/9675 is 1/570825.
To find the highest common factor of 2038,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 2038 are 1, 2, 1019, 2038
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 2038,1005 is 1.
Lets's calculate GCF of 2038,1005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2038,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 2038
:1,2,1019,2038
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 2038,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 2038,1005 is 1.
Lets's calculate LCM of 885,9675
| 3 | 885, 9675 |
| 5 | 295, 3225 |
| 59, 645 |
∴ So the LCM of the given numbers is 3 x 5 x 59 x 645 = 570825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/570825
Therefore, the GCF of Fractions 2038/885,1005/9675 is 1/570825
Least Common Multiple of 885,9675 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 885,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,9675) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(885,9675) x common factors =15 x 1 = 15
LCM(885,9675) = ( 885 × 9675 ) / 15
LCM(885,9675) = 8562375 / 15
LCM(885,9675) = 570825
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FAQs on GCF of Fractions of 2038/885, 1005/9675
1. What is the HCF of 2038,1005?
The HCF of 2038,1005 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 2038/885, 1005/9675?
Answer: GCF of Numerators as per given numbers 2038/885, 1005/9675 is
GCF of Numerators i.e. for 2038,1005 is 1
LCM of denominators i.e. for 885,9675 is 570825.
Thus, GCF of Fractions is 1/570825.Finally, GCF of Fractions for 2038/885, 1005/9675 is 1/570825.