GCF of 176/27, 234/2198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 176/27, 234/2198 i.e 2/59346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/27, 234/2198.
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 176/27,234/2198?
Given fractions are 176/27,234/2198
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 176/27,234/2198, numerators are 176,234
Denominators are 27,2198
The GCF of 176,234 is 2 .
LCM of 27,2198 is 59346.
The greatest common factor of 176/27,234/2198 = [GCF of 176,234]/[LCM of 27,2198]= 2/59346
Therefore, the GCF of 176/27,234/2198 is 2/59346.
To find the highest common factor of 176,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 176,234 is 2.
Lets's calculate GCF of 176,234
| 2 | 176, 234 |
| 88, 117 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 176,234 By Matching Biggest Common Factor Method
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 176,234 . The biggest common factor number is the GCF number.
So the greatest common factor 176,234 is 2.
Lets's calculate LCM of 27,2198
Given numbers has no common factors except 1. So, there LCM is their product i.e 59346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59346
Therefore, the GCF of Fractions 176/27,234/2198 is 2/59346
Least Common Multiple of 27,2198 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 27,2198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,2198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,2198) x common factors =1 x 1 = 1
LCM(27,2198) = ( 27 × 2198 ) / 1
LCM(27,2198) = 59346 / 1
LCM(27,2198) = 59346
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 176/27, 234/2198
1. What is the HCF of 176,234?
The HCF of 176,234 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 176/27, 234/2198?
Answer: GCF of Numerators as per given numbers 176/27, 234/2198 is
GCF of Numerators i.e. for 176,234 is 2
LCM of denominators i.e. for 27,2198 is 59346.
Thus, GCF of Fractions is 2/59346.Finally, GCF of Fractions for 176/27, 234/2198 is 2/59346.