Use our free GCF of Fractions Calculator tool to compute the GCF of 179/613, 276/595 i.e 1/364735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/613, 276/595.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 179/613,276/595
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 179/613,276/595, numerators are 179,276
Denominators are 613,595
The GCF of 179,276 is 1 .
LCM of 613,595 is 364735.
The greatest common factor of 179/613,276/595 = [GCF of 179,276]/[LCM of 613,595]= 1/364735
Therefore, the GCF of 179/613,276/595 is 1/364735.
To find the highest common factor of 179,276, 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 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 179,276 is 1.
Lets's calculate GCF of 179,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 179
:1,179
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 179,276 . The biggest common factor number is the GCF number.
So the greatest common factor 179,276 is 1.
Lets's calculate LCM of 613,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 364735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364735
Therefore, the GCF of Fractions 179/613,276/595 is 1/364735
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 613,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,595) x common factors =1 x 1 = 1
LCM(613,595) = ( 613 × 595 ) / 1
LCM(613,595) = 364735 / 1
LCM(613,595) = 364735
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 179,276?
The HCF of 179,276 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 179/613, 276/595?
Answer: GCF of Numerators as per given numbers 179/613, 276/595 is
GCF of Numerators i.e. for 179,276 is 1
LCM of denominators i.e. for 613,595 is 364735.
Thus, GCF of Fractions is 1/364735.Finally, GCF of Fractions for 179/613, 276/595 is 1/364735.