GCF of 552/173, 8855/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 552/173, 8855/609 i.e 23/105357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/173, 8855/609.
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 552/173,8855/609?
Given fractions are 552/173,8855/609
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 552/173,8855/609, numerators are 552,8855
Denominators are 173,609
The GCF of 552,8855 is 23 .
LCM of 173,609 is 105357.
The greatest common factor of 552/173,8855/609 = [GCF of 552,8855]/[LCM of 173,609]= 23/105357
Therefore, the GCF of 552/173,8855/609 is 23/105357.
To find the highest common factor of 552,8855, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855
The HCF of 552,8855 is 23.
Lets's calculate GCF of 552,8855
| 23 | 552, 8855 |
| 24, 385 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 552,8855 By Matching Biggest Common Factor Method
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 8855
:1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855
Greatest Common Factor
We found the factors 552,8855 . The biggest common factor number is the GCF number.
So the greatest common factor 552,8855 is 23.
Lets's calculate LCM of 173,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 105357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/105357
Therefore, the GCF of Fractions 552/173,8855/609 is 23/105357
Least Common Multiple of 173,609 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 173,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,609) x common factors =1 x 1 = 1
LCM(173,609) = ( 173 × 609 ) / 1
LCM(173,609) = 105357 / 1
LCM(173,609) = 105357
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FAQs on GCF of Fractions of 552/173, 8855/609
1. What is the HCF of 552,8855?
The HCF of 552,8855 is 23
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 552/173, 8855/609?
Answer: GCF of Numerators as per given numbers 552/173, 8855/609 is
GCF of Numerators i.e. for 552,8855 is 23
LCM of denominators i.e. for 173,609 is 105357.
Thus, GCF of Fractions is 23/105357.Finally, GCF of Fractions for 552/173, 8855/609 is 23/105357.