GCF of 8555/735, 7216/2233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8555/735, 7216/2233 i.e 1/234465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8555/735, 7216/2233.
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 8555/735,7216/2233?
Given fractions are 8555/735,7216/2233
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 8555/735,7216/2233, numerators are 8555,7216
Denominators are 735,2233
The GCF of 8555,7216 is 1 .
LCM of 735,2233 is 234465.
The greatest common factor of 8555/735,7216/2233 = [GCF of 8555,7216]/[LCM of 735,2233]= 1/234465
Therefore, the GCF of 8555/735,7216/2233 is 1/234465.
To find the highest common factor of 8555,7216, we have to find the factors of both numbers and list the highest common factor.
The factors of 8555 are 1, 5, 29, 59, 145, 295, 1711, 8555
The factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216
The HCF of 8555,7216 is 1.
Lets's calculate GCF of 8555,7216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8555,7216 By Matching Biggest Common Factor Method
Now, list down the factors of 8555
:1,5,29,59,145,295,1711,8555
Now, list down the factors of 7216
:1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216
Greatest Common Factor
We found the factors 8555,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 8555,7216 is 1.
Lets's calculate LCM of 735,2233
| 7 | 735, 2233 |
| 105, 319 |
∴ So the LCM of the given numbers is 7 x 105 x 319 = 234465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234465
Therefore, the GCF of Fractions 8555/735,7216/2233 is 1/234465
Least Common Multiple of 735,2233 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 735,2233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,2233) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,2233) x common factors =7 x 1 = 7
LCM(735,2233) = ( 735 × 2233 ) / 7
LCM(735,2233) = 1641255 / 7
LCM(735,2233) = 234465
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FAQs on GCF of Fractions of 8555/735, 7216/2233
1. What is the HCF of 8555,7216?
The HCF of 8555,7216 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 8555/735, 7216/2233?
Answer: GCF of Numerators as per given numbers 8555/735, 7216/2233 is
GCF of Numerators i.e. for 8555,7216 is 1
LCM of denominators i.e. for 735,2233 is 234465.
Thus, GCF of Fractions is 1/234465.Finally, GCF of Fractions for 8555/735, 7216/2233 is 1/234465.