GCF of 29/30, 197/36, 297/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/30, 197/36, 297/205 i.e 1/7380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/30, 197/36, 297/205.
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 29/30,197/36,297/205?
Given fractions are 29/30,197/36,297/205
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 29/30,197/36,297/205, numerators are 29,197,297
Denominators are 30,36,205
The GCF of 29,197,297 is 1 .
LCM of 30,36,205 is 7380.
The greatest common factor of 29/30,197/36,297/205 = [GCF of 29,197,297]/[LCM of 30,36,205]= 1/7380
Therefore, the GCF of 29/30,197/36,297/205 is 1/7380.
To find the highest common factor of 29,197,297, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 197 are 1, 197
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The HCF of 29,197,297 is 1.
Lets's calculate GCF of 29,197,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,197,297 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 197
:1,197
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 29,197,297 . The biggest common factor number is the GCF number.
So the greatest common factor 29,197,297 is 1.
Lets's calculate LCM of 30,36,205
| 2 | 30, 36, 205 |
| 3 | 15, 18, 205 |
| 5 | 5, 6, 205 |
| 1, 6, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 6 x 41 = 7380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7380
Therefore, the GCF of Fractions 29/30,197/36,297/205 is 1/7380
Least Common Multiple of 30,36,205 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 30,36,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,36,205) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(30,36,205) x common factors =1 x 30 = 30
LCM(30,36,205) = ( 30 × 36 × 205 ) / 30
LCM(30,36,205) = 221400 / 30
LCM(30,36,205) = 7380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 29/30, 197/36, 297/205
1. What is the HCF of 29,197,297?
The HCF of 29,197,297 is 1
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 29/30, 197/36, 297/205?
Answer: GCF of Numerators as per given numbers 29/30, 197/36, 297/205 is
GCF of Numerators i.e. for 29,197,297 is 1
LCM of denominators i.e. for 30,36,205 is 7380.
Thus, GCF of Fractions is 1/7380.Finally, GCF of Fractions for 29/30, 197/36, 297/205 is 1/7380.