GCF of 192/21, 598/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 192/21, 598/654 i.e 2/4578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/21, 598/654.
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 192/21,598/654?
Given fractions are 192/21,598/654
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 192/21,598/654, numerators are 192,598
Denominators are 21,654
The GCF of 192,598 is 2 .
LCM of 21,654 is 4578.
The greatest common factor of 192/21,598/654 = [GCF of 192,598]/[LCM of 21,654]= 2/4578
Therefore, the GCF of 192/21,598/654 is 2/4578.
To find the highest common factor of 192,598, 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 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 192,598 is 2.
Lets's calculate GCF of 192,598
| 2 | 192, 598 |
| 96, 299 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 192,598 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 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 192,598 . The biggest common factor number is the GCF number.
So the greatest common factor 192,598 is 2.
Lets's calculate LCM of 21,654
| 3 | 21, 654 |
| 7, 218 |
∴ So the LCM of the given numbers is 3 x 7 x 218 = 4578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4578
Therefore, the GCF of Fractions 192/21,598/654 is 2/4578
Least Common Multiple of 21,654 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 21,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,654) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,654) x common factors =3 x 1 = 3
LCM(21,654) = ( 21 × 654 ) / 3
LCM(21,654) = 13734 / 3
LCM(21,654) = 4578
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FAQs on GCF of Fractions of 192/21, 598/654
1. What is the HCF of 192,598?
The HCF of 192,598 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 192/21, 598/654?
Answer: GCF of Numerators as per given numbers 192/21, 598/654 is
GCF of Numerators i.e. for 192,598 is 2
LCM of denominators i.e. for 21,654 is 4578.
Thus, GCF of Fractions is 2/4578.Finally, GCF of Fractions for 192/21, 598/654 is 2/4578.