GCF of 2004/209, 9689/9690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2004/209, 9689/9690 i.e 1/106590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2004/209, 9689/9690.
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 2004/209,9689/9690?
Given fractions are 2004/209,9689/9690
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 2004/209,9689/9690, numerators are 2004,9689
Denominators are 209,9690
The GCF of 2004,9689 is 1 .
LCM of 209,9690 is 106590.
The greatest common factor of 2004/209,9689/9690 = [GCF of 2004,9689]/[LCM of 209,9690]= 1/106590
Therefore, the GCF of 2004/209,9689/9690 is 1/106590.
To find the highest common factor of 2004,9689, we have to find the factors of both numbers and list the highest common factor.
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004
The factors of 9689 are 1, 9689
The HCF of 2004,9689 is 1.
Lets's calculate GCF of 2004,9689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2004,9689 By Matching Biggest Common Factor Method
Now, list down the factors of 2004
:1,2,3,4,6,12,167,334,501,668,1002,2004
Now, list down the factors of 9689
:1,9689
Greatest Common Factor
We found the factors 2004,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 2004,9689 is 1.
Lets's calculate LCM of 209,9690
| 19 | 209, 9690 |
| 11, 510 |
∴ So the LCM of the given numbers is 19 x 11 x 510 = 106590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106590
Therefore, the GCF of Fractions 2004/209,9689/9690 is 1/106590
Least Common Multiple of 209,9690 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 209,9690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,9690) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(209,9690) x common factors =19 x 1 = 19
LCM(209,9690) = ( 209 × 9690 ) / 19
LCM(209,9690) = 2025210 / 19
LCM(209,9690) = 106590
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FAQs on GCF of Fractions of 2004/209, 9689/9690
1. What is the HCF of 2004,9689?
The HCF of 2004,9689 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 2004/209, 9689/9690?
Answer: GCF of Numerators as per given numbers 2004/209, 9689/9690 is
GCF of Numerators i.e. for 2004,9689 is 1
LCM of denominators i.e. for 209,9690 is 106590.
Thus, GCF of Fractions is 1/106590.Finally, GCF of Fractions for 2004/209, 9689/9690 is 1/106590.