GCF of 336/392, 9972/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/392, 9972/198 i.e 12/38808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/392, 9972/198.
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 336/392,9972/198?
Given fractions are 336/392,9972/198
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 336/392,9972/198, numerators are 336,9972
Denominators are 392,198
The GCF of 336,9972 is 12 .
LCM of 392,198 is 38808.
The greatest common factor of 336/392,9972/198 = [GCF of 336,9972]/[LCM of 392,198]= 12/38808
Therefore, the GCF of 336/392,9972/198 is 12/38808.
To find the highest common factor of 336,9972, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972
The HCF of 336,9972 is 12.
Lets's calculate GCF of 336,9972
| 2 | 336, 9972 |
| 2 | 168, 4986 |
| 3 | 84, 2493 |
| 28, 831 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 336,9972 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 9972
:1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Greatest Common Factor
We found the factors 336,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 336,9972 is 12.
Lets's calculate LCM of 392,198
| 2 | 392, 198 |
| 196, 99 |
∴ So the LCM of the given numbers is 2 x 196 x 99 = 38808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/38808
Therefore, the GCF of Fractions 336/392,9972/198 is 12/38808
Least Common Multiple of 392,198 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 392,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,198) x common factors =2 x 1 = 2
LCM(392,198) = ( 392 × 198 ) / 2
LCM(392,198) = 77616 / 2
LCM(392,198) = 38808
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 336/392, 9972/198
1. What is the HCF of 336,9972?
The HCF of 336,9972 is 12
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 336/392, 9972/198?
Answer: GCF of Numerators as per given numbers 336/392, 9972/198 is
GCF of Numerators i.e. for 336,9972 is 12
LCM of denominators i.e. for 392,198 is 38808.
Thus, GCF of Fractions is 12/38808.Finally, GCF of Fractions for 336/392, 9972/198 is 12/38808.