GCF of 9228/355, 7296/8165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9228/355, 7296/8165 i.e 12/8165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9228/355, 7296/8165.
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 9228/355,7296/8165?
Given fractions are 9228/355,7296/8165
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 9228/355,7296/8165, numerators are 9228,7296
Denominators are 355,8165
The GCF of 9228,7296 is 12 .
LCM of 355,8165 is 8165.
The greatest common factor of 9228/355,7296/8165 = [GCF of 9228,7296]/[LCM of 355,8165]= 12/8165
Therefore, the GCF of 9228/355,7296/8165 is 12/8165.
To find the highest common factor of 9228,7296, we have to find the factors of both numbers and list the highest common factor.
The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The HCF of 9228,7296 is 12.
Lets's calculate GCF of 9228,7296
| 2 | 9228, 7296 |
| 2 | 4614, 3648 |
| 3 | 2307, 1824 |
| 769, 608 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9228,7296 By Matching Biggest Common Factor Method
Now, list down the factors of 9228
:1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Greatest Common Factor
We found the factors 9228,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 9228,7296 is 12.
Lets's calculate LCM of 355,8165
| 5 | 355, 8165 |
| 71 | 71, 1633 |
| 1, 23 |
∴ So the LCM of the given numbers is 5 x 71 x 1 x 23 = 8165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/8165
Therefore, the GCF of Fractions 9228/355,7296/8165 is 12/8165
Least Common Multiple of 355,8165 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 355,8165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,8165) = 355
common factors(in case of two or more numbers have common factors) = 1
GCF(355,8165) x common factors =355 x 1 = 355
LCM(355,8165) = ( 355 × 8165 ) / 355
LCM(355,8165) = 2898575 / 355
LCM(355,8165) = 8165
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FAQs on GCF of Fractions of 9228/355, 7296/8165
1. What is the HCF of 9228,7296?
The HCF of 9228,7296 is 12
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 9228/355, 7296/8165?
Answer: GCF of Numerators as per given numbers 9228/355, 7296/8165 is
GCF of Numerators i.e. for 9228,7296 is 12
LCM of denominators i.e. for 355,8165 is 8165.
Thus, GCF of Fractions is 12/8165.Finally, GCF of Fractions for 9228/355, 7296/8165 is 12/8165.