Use our free GCF of Fractions Calculator tool to compute the GCF of 173/59, 308/697 i.e 1/41123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 173/59, 308/697.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 173/59,308/697
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 173/59,308/697, numerators are 173,308
Denominators are 59,697
The GCF of 173,308 is 1 .
LCM of 59,697 is 41123.
The greatest common factor of 173/59,308/697 = [GCF of 173,308]/[LCM of 59,697]= 1/41123
Therefore, the GCF of 173/59,308/697 is 1/41123.
To find the highest common factor of 173,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 173 are 1, 173
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 173,308 is 1.
Lets's calculate GCF of 173,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 173
:1,173
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 173,308 . The biggest common factor number is the GCF number.
So the greatest common factor 173,308 is 1.
Lets's calculate LCM of 59,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 41123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41123
Therefore, the GCF of Fractions 173/59,308/697 is 1/41123
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 59,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,697) x common factors =1 x 1 = 1
LCM(59,697) = ( 59 × 697 ) / 1
LCM(59,697) = 41123 / 1
LCM(59,697) = 41123
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 173,308?
The HCF of 173,308 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 173/59, 308/697?
Answer: GCF of Numerators as per given numbers 173/59, 308/697 is
GCF of Numerators i.e. for 173,308 is 1
LCM of denominators i.e. for 59,697 is 41123.
Thus, GCF of Fractions is 1/41123.Finally, GCF of Fractions for 173/59, 308/697 is 1/41123.