GCF of 592/321, 272/110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 592/321, 272/110 i.e 16/35310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/321, 272/110.
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 592/321,272/110?
Given fractions are 592/321,272/110
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 592/321,272/110, numerators are 592,272
Denominators are 321,110
The GCF of 592,272 is 16 .
LCM of 321,110 is 35310.
The greatest common factor of 592/321,272/110 = [GCF of 592,272]/[LCM of 321,110]= 16/35310
Therefore, the GCF of 592/321,272/110 is 16/35310.
To find the highest common factor of 592,272, we have to find the factors of both numbers and list the highest common factor.
The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The HCF of 592,272 is 16.
Lets's calculate GCF of 592,272
| 2 | 592, 272 |
| 2 | 296, 136 |
| 2 | 148, 68 |
| 2 | 74, 34 |
| 37, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 592,272 By Matching Biggest Common Factor Method
Now, list down the factors of 592
:1,2,4,8,16,37,74,148,296,592
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 592,272 . The biggest common factor number is the GCF number.
So the greatest common factor 592,272 is 16.
Lets's calculate LCM of 321,110
Given numbers has no common factors except 1. So, there LCM is their product i.e 35310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/35310
Therefore, the GCF of Fractions 592/321,272/110 is 16/35310
Least Common Multiple of 321,110 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 321,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,110) x common factors =1 x 1 = 1
LCM(321,110) = ( 321 × 110 ) / 1
LCM(321,110) = 35310 / 1
LCM(321,110) = 35310
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 592/321, 272/110
1. What is the HCF of 592,272?
The HCF of 592,272 is 16
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 592/321, 272/110?
Answer: GCF of Numerators as per given numbers 592/321, 272/110 is
GCF of Numerators i.e. for 592,272 is 16
LCM of denominators i.e. for 321,110 is 35310.
Thus, GCF of Fractions is 16/35310.Finally, GCF of Fractions for 592/321, 272/110 is 16/35310.