GCF of 8818/122, 5327/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8818/122, 5327/192 i.e 1/11712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8818/122, 5327/192.
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 8818/122,5327/192?
Given fractions are 8818/122,5327/192
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 8818/122,5327/192, numerators are 8818,5327
Denominators are 122,192
The GCF of 8818,5327 is 1 .
LCM of 122,192 is 11712.
The greatest common factor of 8818/122,5327/192 = [GCF of 8818,5327]/[LCM of 122,192]= 1/11712
Therefore, the GCF of 8818/122,5327/192 is 1/11712.
To find the highest common factor of 8818,5327, we have to find the factors of both numbers and list the highest common factor.
The factors of 8818 are 1, 2, 4409, 8818
The factors of 5327 are 1, 7, 761, 5327
The HCF of 8818,5327 is 1.
Lets's calculate GCF of 8818,5327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8818,5327 By Matching Biggest Common Factor Method
Now, list down the factors of 8818
:1,2,4409,8818
Now, list down the factors of 5327
:1,7,761,5327
Greatest Common Factor
We found the factors 8818,5327 . The biggest common factor number is the GCF number.
So the greatest common factor 8818,5327 is 1.
Lets's calculate LCM of 122,192
| 2 | 122, 192 |
| 61, 96 |
∴ So the LCM of the given numbers is 2 x 61 x 96 = 11712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11712
Therefore, the GCF of Fractions 8818/122,5327/192 is 1/11712
Least Common Multiple of 122,192 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 122,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,192) x common factors =2 x 1 = 2
LCM(122,192) = ( 122 × 192 ) / 2
LCM(122,192) = 23424 / 2
LCM(122,192) = 11712
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FAQs on GCF of Fractions of 8818/122, 5327/192
1. What is the HCF of 8818,5327?
The HCF of 8818,5327 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 8818/122, 5327/192?
Answer: GCF of Numerators as per given numbers 8818/122, 5327/192 is
GCF of Numerators i.e. for 8818,5327 is 1
LCM of denominators i.e. for 122,192 is 11712.
Thus, GCF of Fractions is 1/11712.Finally, GCF of Fractions for 8818/122, 5327/192 is 1/11712.