Use our free GCF of Fractions Calculator tool to compute the GCF of 759/173, 122/497 i.e 1/85981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 759/173, 122/497.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 759/173,122/497
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 759/173,122/497, numerators are 759,122
Denominators are 173,497
The GCF of 759,122 is 1 .
LCM of 173,497 is 85981.
The greatest common factor of 759/173,122/497 = [GCF of 759,122]/[LCM of 173,497]= 1/85981
Therefore, the GCF of 759/173,122/497 is 1/85981.
To find the highest common factor of 759,122, we have to find the factors of both numbers and list the highest common factor.
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The factors of 122 are 1, 2, 61, 122
The HCF of 759,122 is 1.
Lets's calculate GCF of 759,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Now, list down the factors of 122
:1,2,61,122
Greatest Common Factor
We found the factors 759,122 . The biggest common factor number is the GCF number.
So the greatest common factor 759,122 is 1.
Lets's calculate LCM of 173,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 85981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85981
Therefore, the GCF of Fractions 759/173,122/497 is 1/85981
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 173,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,497) x common factors =1 x 1 = 1
LCM(173,497) = ( 173 × 497 ) / 1
LCM(173,497) = 85981 / 1
LCM(173,497) = 85981
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 759,122?
The HCF of 759,122 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 759/173, 122/497?
Answer: GCF of Numerators as per given numbers 759/173, 122/497 is
GCF of Numerators i.e. for 759,122 is 1
LCM of denominators i.e. for 173,497 is 85981.
Thus, GCF of Fractions is 1/85981.Finally, GCF of Fractions for 759/173, 122/497 is 1/85981.