Use our free GCF of Fractions Calculator tool to compute the GCF of 734/506, 697/149 i.e 1/75394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/506, 697/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 734/506,697/149
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 734/506,697/149, numerators are 734,697
Denominators are 506,149
The GCF of 734,697 is 1 .
LCM of 506,149 is 75394.
The greatest common factor of 734/506,697/149 = [GCF of 734,697]/[LCM of 506,149]= 1/75394
Therefore, the GCF of 734/506,697/149 is 1/75394.
To find the highest common factor of 734,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 734 are 1, 2, 367, 734
The factors of 697 are 1, 17, 41, 697
The HCF of 734,697 is 1.
Lets's calculate GCF of 734,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 734,697 . The biggest common factor number is the GCF number.
So the greatest common factor 734,697 is 1.
Lets's calculate LCM of 506,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 75394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75394
Therefore, the GCF of Fractions 734/506,697/149 is 1/75394
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 506,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,149) x common factors =1 x 1 = 1
LCM(506,149) = ( 506 × 149 ) / 1
LCM(506,149) = 75394 / 1
LCM(506,149) = 75394
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 734,697?
The HCF of 734,697 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 734/506, 697/149?
Answer: GCF of Numerators as per given numbers 734/506, 697/149 is
GCF of Numerators i.e. for 734,697 is 1
LCM of denominators i.e. for 506,149 is 75394.
Thus, GCF of Fractions is 1/75394.Finally, GCF of Fractions for 734/506, 697/149 is 1/75394.