GCF of 179/57, 663/792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 179/57, 663/792 i.e 1/15048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/57, 663/792.
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 179/57,663/792?
Given fractions are 179/57,663/792
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 179/57,663/792, numerators are 179,663
Denominators are 57,792
The GCF of 179,663 is 1 .
LCM of 57,792 is 15048.
The greatest common factor of 179/57,663/792 = [GCF of 179,663]/[LCM of 57,792]= 1/15048
Therefore, the GCF of 179/57,663/792 is 1/15048.
To find the highest common factor of 179,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 179 are 1, 179
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 179,663 is 1.
Lets's calculate GCF of 179,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 179,663 By Matching Biggest Common Factor Method
Now, list down the factors of 179
:1,179
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 179,663 . The biggest common factor number is the GCF number.
So the greatest common factor 179,663 is 1.
Lets's calculate LCM of 57,792
| 3 | 57, 792 |
| 19, 264 |
∴ So the LCM of the given numbers is 3 x 19 x 264 = 15048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15048
Therefore, the GCF of Fractions 179/57,663/792 is 1/15048
Least Common Multiple of 57,792 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 57,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,792) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,792) x common factors =3 x 1 = 3
LCM(57,792) = ( 57 × 792 ) / 3
LCM(57,792) = 45144 / 3
LCM(57,792) = 15048
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 179/57, 663/792
1. What is the HCF of 179,663?
The HCF of 179,663 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 179/57, 663/792?
Answer: GCF of Numerators as per given numbers 179/57, 663/792 is
GCF of Numerators i.e. for 179,663 is 1
LCM of denominators i.e. for 57,792 is 15048.
Thus, GCF of Fractions is 1/15048.Finally, GCF of Fractions for 179/57, 663/792 is 1/15048.