GCF of 4617/729, 9228/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4617/729, 9228/360 i.e 3/29160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4617/729, 9228/360.
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 4617/729,9228/360?
Given fractions are 4617/729,9228/360
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 4617/729,9228/360, numerators are 4617,9228
Denominators are 729,360
The GCF of 4617,9228 is 3 .
LCM of 729,360 is 29160.
The greatest common factor of 4617/729,9228/360 = [GCF of 4617,9228]/[LCM of 729,360]= 3/29160
Therefore, the GCF of 4617/729,9228/360 is 3/29160.
To find the highest common factor of 4617,9228, we have to find the factors of both numbers and list the highest common factor.
The factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617
The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228
The HCF of 4617,9228 is 3.
Lets's calculate GCF of 4617,9228
| 3 | 4617, 9228 |
| 1539, 3076 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4617,9228 By Matching Biggest Common Factor Method
Now, list down the factors of 4617
:1,3,9,19,27,57,81,171,243,513,1539,4617
Now, list down the factors of 9228
:1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Greatest Common Factor
We found the factors 4617,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 4617,9228 is 3.
Lets's calculate LCM of 729,360
| 3 | 729, 360 |
| 3 | 243, 120 |
| 81, 40 |
∴ So the LCM of the given numbers is 3 x 3 x 81 x 40 = 29160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29160
Therefore, the GCF of Fractions 4617/729,9228/360 is 3/29160
Least Common Multiple of 729,360 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 729,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,360) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(729,360) x common factors =9 x 1 = 9
LCM(729,360) = ( 729 × 360 ) / 9
LCM(729,360) = 262440 / 9
LCM(729,360) = 29160
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FAQs on GCF of Fractions of 4617/729, 9228/360
1. What is the HCF of 4617,9228?
The HCF of 4617,9228 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 4617/729, 9228/360?
Answer: GCF of Numerators as per given numbers 4617/729, 9228/360 is
GCF of Numerators i.e. for 4617,9228 is 3
LCM of denominators i.e. for 729,360 is 29160.
Thus, GCF of Fractions is 3/29160.Finally, GCF of Fractions for 4617/729, 9228/360 is 3/29160.