GCF of 9006/978, 3589/2268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9006/978, 3589/2268 i.e 1/369684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9006/978, 3589/2268.
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 9006/978,3589/2268?
Given fractions are 9006/978,3589/2268
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 9006/978,3589/2268, numerators are 9006,3589
Denominators are 978,2268
The GCF of 9006,3589 is 1 .
LCM of 978,2268 is 369684.
The greatest common factor of 9006/978,3589/2268 = [GCF of 9006,3589]/[LCM of 978,2268]= 1/369684
Therefore, the GCF of 9006/978,3589/2268 is 1/369684.
To find the highest common factor of 9006,3589, we have to find the factors of both numbers and list the highest common factor.
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
The factors of 3589 are 1, 37, 97, 3589
The HCF of 9006,3589 is 1.
Lets's calculate GCF of 9006,3589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9006,3589 By Matching Biggest Common Factor Method
Now, list down the factors of 9006
:1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Now, list down the factors of 3589
:1,37,97,3589
Greatest Common Factor
We found the factors 9006,3589 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,3589 is 1.
Lets's calculate LCM of 978,2268
| 2 | 978, 2268 |
| 3 | 489, 1134 |
| 163, 378 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 378 = 369684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369684
Therefore, the GCF of Fractions 9006/978,3589/2268 is 1/369684
Least Common Multiple of 978,2268 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 978,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,2268) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,2268) x common factors =6 x 1 = 6
LCM(978,2268) = ( 978 × 2268 ) / 6
LCM(978,2268) = 2218104 / 6
LCM(978,2268) = 369684
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FAQs on GCF of Fractions of 9006/978, 3589/2268
1. What is the HCF of 9006,3589?
The HCF of 9006,3589 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 9006/978, 3589/2268?
Answer: GCF of Numerators as per given numbers 9006/978, 3589/2268 is
GCF of Numerators i.e. for 9006,3589 is 1
LCM of denominators i.e. for 978,2268 is 369684.
Thus, GCF of Fractions is 1/369684.Finally, GCF of Fractions for 9006/978, 3589/2268 is 1/369684.