GCF of 475/174, 297/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 475/174, 297/198 i.e 1/5742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/174, 297/198.
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 475/174,297/198?
Given fractions are 475/174,297/198
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 475/174,297/198, numerators are 475,297
Denominators are 174,198
The GCF of 475,297 is 1 .
LCM of 174,198 is 5742.
The greatest common factor of 475/174,297/198 = [GCF of 475,297]/[LCM of 174,198]= 1/5742
Therefore, the GCF of 475/174,297/198 is 1/5742.
To find the highest common factor of 475,297, we have to find the factors of both numbers and list the highest common factor.
The factors of 475 are 1, 5, 19, 25, 95, 475
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The HCF of 475,297 is 1.
Lets's calculate GCF of 475,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 475,297 By Matching Biggest Common Factor Method
Now, list down the factors of 475
:1,5,19,25,95,475
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 475,297 . The biggest common factor number is the GCF number.
So the greatest common factor 475,297 is 1.
Lets's calculate LCM of 174,198
| 2 | 174, 198 |
| 3 | 87, 99 |
| 29, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 33 = 5742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5742
Therefore, the GCF of Fractions 475/174,297/198 is 1/5742
Least Common Multiple of 174,198 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 174,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,198) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,198) x common factors =6 x 1 = 6
LCM(174,198) = ( 174 × 198 ) / 6
LCM(174,198) = 34452 / 6
LCM(174,198) = 5742
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FAQs on GCF of Fractions of 475/174, 297/198
1. What is the HCF of 475,297?
The HCF of 475,297 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 475/174, 297/198?
Answer: GCF of Numerators as per given numbers 475/174, 297/198 is
GCF of Numerators i.e. for 475,297 is 1
LCM of denominators i.e. for 174,198 is 5742.
Thus, GCF of Fractions is 1/5742.Finally, GCF of Fractions for 475/174, 297/198 is 1/5742.