GCF of 192/97, 174/42, 116/36
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 192/97, 174/42, 116/36 i.e 2/24444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/97, 174/42, 116/36.
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 192/97,174/42,116/36?
Given fractions are 192/97,174/42,116/36
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 192/97,174/42,116/36, numerators are 192,174,116
Denominators are 97,42,36
The GCF of 192,174,116 is 2 .
LCM of 97,42,36 is 24444.
The greatest common factor of 192/97,174/42,116/36 = [GCF of 192,174,116]/[LCM of 97,42,36]= 2/24444
Therefore, the GCF of 192/97,174/42,116/36 is 2/24444.
To find the highest common factor of 192,174,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 192,174,116 is 2.
Lets's calculate GCF of 192,174,116
| 2 | 192, 174, 116 |
| 96, 87, 58 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 192,174,116 By Matching Biggest Common Factor Method
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 192,174,116 . The biggest common factor number is the GCF number.
So the greatest common factor 192,174,116 is 2.
Lets's calculate LCM of 97,42,36
| 2 | 97, 42, 36 |
| 3 | 97, 21, 18 |
| 97, 7, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 7 x 6 = 24444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24444
Therefore, the GCF of Fractions 192/97,174/42,116/36 is 2/24444
Least Common Multiple of 97,42,36 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 97,42,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,42,36) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(97,42,36) x common factors =1 x 6 = 6
LCM(97,42,36) = ( 97 × 42 × 36 ) / 6
LCM(97,42,36) = 146664 / 6
LCM(97,42,36) = 24444
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FAQs on GCF of Fractions of 192/97, 174/42, 116/36
1. What is the HCF of 192,174,116?
The HCF of 192,174,116 is 2
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 192/97, 174/42, 116/36?
Answer: GCF of Numerators as per given numbers 192/97, 174/42, 116/36 is
GCF of Numerators i.e. for 192,174,116 is 2
LCM of denominators i.e. for 97,42,36 is 24444.
Thus, GCF of Fractions is 2/24444.Finally, GCF of Fractions for 192/97, 174/42, 116/36 is 2/24444.