GCF of 388/176, 219/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 388/176, 219/354 i.e 1/31152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/176, 219/354.
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 388/176,219/354?
Given fractions are 388/176,219/354
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 388/176,219/354, numerators are 388,219
Denominators are 176,354
The GCF of 388,219 is 1 .
LCM of 176,354 is 31152.
The greatest common factor of 388/176,219/354 = [GCF of 388,219]/[LCM of 176,354]= 1/31152
Therefore, the GCF of 388/176,219/354 is 1/31152.
To find the highest common factor of 388,219, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 219 are 1, 3, 73, 219
The HCF of 388,219 is 1.
Lets's calculate GCF of 388,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 388,219 By Matching Biggest Common Factor Method
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 388,219 . The biggest common factor number is the GCF number.
So the greatest common factor 388,219 is 1.
Lets's calculate LCM of 176,354
| 2 | 176, 354 |
| 88, 177 |
∴ So the LCM of the given numbers is 2 x 88 x 177 = 31152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31152
Therefore, the GCF of Fractions 388/176,219/354 is 1/31152
Least Common Multiple of 176,354 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 176,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,354) x common factors =2 x 1 = 2
LCM(176,354) = ( 176 × 354 ) / 2
LCM(176,354) = 62304 / 2
LCM(176,354) = 31152
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 388/176, 219/354
1. What is the HCF of 388,219?
The HCF of 388,219 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 388/176, 219/354?
Answer: GCF of Numerators as per given numbers 388/176, 219/354 is
GCF of Numerators i.e. for 388,219 is 1
LCM of denominators i.e. for 176,354 is 31152.
Thus, GCF of Fractions is 1/31152.Finally, GCF of Fractions for 388/176, 219/354 is 1/31152.