GCF of 192/140, 136/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 192/140, 136/118 i.e 8/8260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/140, 136/118.
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 192/140,136/118?
Given fractions are 192/140,136/118
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 192/140,136/118, numerators are 192,136
Denominators are 140,118
The GCF of 192,136 is 8 .
LCM of 140,118 is 8260.
The greatest common factor of 192/140,136/118 = [GCF of 192,136]/[LCM of 140,118]= 8/8260
Therefore, the GCF of 192/140,136/118 is 8/8260.
To find the highest common factor of 192,136, 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 136 are 1, 2, 4, 8, 17, 34, 68, 136
The HCF of 192,136 is 8.
Lets's calculate GCF of 192,136
| 2 | 192, 136 |
| 2 | 96, 68 |
| 2 | 48, 34 |
| 24, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 192,136 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 136
:1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 192,136 . The biggest common factor number is the GCF number.
So the greatest common factor 192,136 is 8.
Lets's calculate LCM of 140,118
| 2 | 140, 118 |
| 70, 59 |
∴ So the LCM of the given numbers is 2 x 70 x 59 = 8260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/8260
Therefore, the GCF of Fractions 192/140,136/118 is 8/8260
Least Common Multiple of 140,118 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 140,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,118) x common factors =2 x 1 = 2
LCM(140,118) = ( 140 × 118 ) / 2
LCM(140,118) = 16520 / 2
LCM(140,118) = 8260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 192/140, 136/118
1. What is the HCF of 192,136?
The HCF of 192,136 is 8
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 192/140, 136/118?
Answer: GCF of Numerators as per given numbers 192/140, 136/118 is
GCF of Numerators i.e. for 192,136 is 8
LCM of denominators i.e. for 140,118 is 8260.
Thus, GCF of Fractions is 8/8260.Finally, GCF of Fractions for 192/140, 136/118 is 8/8260.