GCF of 9039/820, 4242/3912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9039/820, 4242/3912 i.e 3/801960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/820, 4242/3912.
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 9039/820,4242/3912?
Given fractions are 9039/820,4242/3912
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 9039/820,4242/3912, numerators are 9039,4242
Denominators are 820,3912
The GCF of 9039,4242 is 3 .
LCM of 820,3912 is 801960.
The greatest common factor of 9039/820,4242/3912 = [GCF of 9039,4242]/[LCM of 820,3912]= 3/801960
Therefore, the GCF of 9039/820,4242/3912 is 3/801960.
To find the highest common factor of 9039,4242, we have to find the factors of both numbers and list the highest common factor.
The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039
The factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The HCF of 9039,4242 is 3.
Lets's calculate GCF of 9039,4242
| 3 | 9039, 4242 |
| 3013, 1414 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9039,4242 By Matching Biggest Common Factor Method
Now, list down the factors of 9039
:1,3,23,69,131,393,3013,9039
Now, list down the factors of 4242
:1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Greatest Common Factor
We found the factors 9039,4242 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,4242 is 3.
Lets's calculate LCM of 820,3912
| 2 | 820, 3912 |
| 2 | 410, 1956 |
| 205, 978 |
∴ So the LCM of the given numbers is 2 x 2 x 205 x 978 = 801960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/801960
Therefore, the GCF of Fractions 9039/820,4242/3912 is 3/801960
Least Common Multiple of 820,3912 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 820,3912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,3912) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(820,3912) x common factors =4 x 1 = 4
LCM(820,3912) = ( 820 × 3912 ) / 4
LCM(820,3912) = 3207840 / 4
LCM(820,3912) = 801960
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FAQs on GCF of Fractions of 9039/820, 4242/3912
1. What is the HCF of 9039,4242?
The HCF of 9039,4242 is 3
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 9039/820, 4242/3912?
Answer: GCF of Numerators as per given numbers 9039/820, 4242/3912 is
GCF of Numerators i.e. for 9039,4242 is 3
LCM of denominators i.e. for 820,3912 is 801960.
Thus, GCF of Fractions is 3/801960.Finally, GCF of Fractions for 9039/820, 4242/3912 is 3/801960.