GCF of 9004/662, 9365/2160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9004/662, 9365/2160 i.e 1/714960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9004/662, 9365/2160.
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 9004/662,9365/2160?
Given fractions are 9004/662,9365/2160
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 9004/662,9365/2160, numerators are 9004,9365
Denominators are 662,2160
The GCF of 9004,9365 is 1 .
LCM of 662,2160 is 714960.
The greatest common factor of 9004/662,9365/2160 = [GCF of 9004,9365]/[LCM of 662,2160]= 1/714960
Therefore, the GCF of 9004/662,9365/2160 is 1/714960.
To find the highest common factor of 9004,9365, we have to find the factors of both numbers and list the highest common factor.
The factors of 9004 are 1, 2, 4, 2251, 4502, 9004
The factors of 9365 are 1, 5, 1873, 9365
The HCF of 9004,9365 is 1.
Lets's calculate GCF of 9004,9365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9004,9365 By Matching Biggest Common Factor Method
Now, list down the factors of 9004
:1,2,4,2251,4502,9004
Now, list down the factors of 9365
:1,5,1873,9365
Greatest Common Factor
We found the factors 9004,9365 . The biggest common factor number is the GCF number.
So the greatest common factor 9004,9365 is 1.
Lets's calculate LCM of 662,2160
| 2 | 662, 2160 |
| 331, 1080 |
∴ So the LCM of the given numbers is 2 x 331 x 1080 = 714960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714960
Therefore, the GCF of Fractions 9004/662,9365/2160 is 1/714960
Least Common Multiple of 662,2160 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 662,2160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,2160) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,2160) x common factors =2 x 1 = 2
LCM(662,2160) = ( 662 × 2160 ) / 2
LCM(662,2160) = 1429920 / 2
LCM(662,2160) = 714960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9004/662, 9365/2160
1. What is the HCF of 9004,9365?
The HCF of 9004,9365 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 9004/662, 9365/2160?
Answer: GCF of Numerators as per given numbers 9004/662, 9365/2160 is
GCF of Numerators i.e. for 9004,9365 is 1
LCM of denominators i.e. for 662,2160 is 714960.
Thus, GCF of Fractions is 1/714960.Finally, GCF of Fractions for 9004/662, 9365/2160 is 1/714960.