GCF of 923/123, 686/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 923/123, 686/192 i.e 1/7872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/123, 686/192.
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 923/123,686/192?
Given fractions are 923/123,686/192
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 923/123,686/192, numerators are 923,686
Denominators are 123,192
The GCF of 923,686 is 1 .
LCM of 123,192 is 7872.
The greatest common factor of 923/123,686/192 = [GCF of 923,686]/[LCM of 123,192]= 1/7872
Therefore, the GCF of 923/123,686/192 is 1/7872.
To find the highest common factor of 923,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 923,686 is 1.
Lets's calculate GCF of 923,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 923,686 By Matching Biggest Common Factor Method
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 923,686 . The biggest common factor number is the GCF number.
So the greatest common factor 923,686 is 1.
Lets's calculate LCM of 123,192
| 3 | 123, 192 |
| 41, 64 |
∴ So the LCM of the given numbers is 3 x 41 x 64 = 7872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7872
Therefore, the GCF of Fractions 923/123,686/192 is 1/7872
Least Common Multiple of 123,192 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 123,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,192) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,192) x common factors =3 x 1 = 3
LCM(123,192) = ( 123 × 192 ) / 3
LCM(123,192) = 23616 / 3
LCM(123,192) = 7872
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FAQs on GCF of Fractions of 923/123, 686/192
1. What is the HCF of 923,686?
The HCF of 923,686 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 923/123, 686/192?
Answer: GCF of Numerators as per given numbers 923/123, 686/192 is
GCF of Numerators i.e. for 923,686 is 1
LCM of denominators i.e. for 123,192 is 7872.
Thus, GCF of Fractions is 1/7872.Finally, GCF of Fractions for 923/123, 686/192 is 1/7872.