GCF of 9627/588, 9216/6444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9627/588, 9216/6444 i.e 3/315756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9627/588, 9216/6444.
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 9627/588,9216/6444?
Given fractions are 9627/588,9216/6444
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 9627/588,9216/6444, numerators are 9627,9216
Denominators are 588,6444
The GCF of 9627,9216 is 3 .
LCM of 588,6444 is 315756.
The greatest common factor of 9627/588,9216/6444 = [GCF of 9627,9216]/[LCM of 588,6444]= 3/315756
Therefore, the GCF of 9627/588,9216/6444 is 3/315756.
To find the highest common factor of 9627,9216, we have to find the factors of both numbers and list the highest common factor.
The factors of 9627 are 1, 3, 3209, 9627
The factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216
The HCF of 9627,9216 is 3.
Lets's calculate GCF of 9627,9216
| 3 | 9627, 9216 |
| 3209, 3072 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9627,9216 By Matching Biggest Common Factor Method
Now, list down the factors of 9627
:1,3,3209,9627
Now, list down the factors of 9216
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216
Greatest Common Factor
We found the factors 9627,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 9627,9216 is 3.
Lets's calculate LCM of 588,6444
| 2 | 588, 6444 |
| 2 | 294, 3222 |
| 3 | 147, 1611 |
| 49, 537 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 537 = 315756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/315756
Therefore, the GCF of Fractions 9627/588,9216/6444 is 3/315756
Least Common Multiple of 588,6444 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 588,6444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,6444) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(588,6444) x common factors =12 x 1 = 12
LCM(588,6444) = ( 588 × 6444 ) / 12
LCM(588,6444) = 3789072 / 12
LCM(588,6444) = 315756
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FAQs on GCF of Fractions of 9627/588, 9216/6444
1. What is the HCF of 9627,9216?
The HCF of 9627,9216 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 9627/588, 9216/6444?
Answer: GCF of Numerators as per given numbers 9627/588, 9216/6444 is
GCF of Numerators i.e. for 9627,9216 is 3
LCM of denominators i.e. for 588,6444 is 315756.
Thus, GCF of Fractions is 3/315756.Finally, GCF of Fractions for 9627/588, 9216/6444 is 3/315756.