Use our free GCF of Fractions Calculator tool to compute the GCF of 659/769, 974/142 i.e 1/109198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/769, 974/142.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/769,974/142
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 659/769,974/142, numerators are 659,974
Denominators are 769,142
The GCF of 659,974 is 1 .
LCM of 769,142 is 109198.
The greatest common factor of 659/769,974/142 = [GCF of 659,974]/[LCM of 769,142]= 1/109198
Therefore, the GCF of 659/769,974/142 is 1/109198.
To find the highest common factor of 659,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 659 are 1, 659
The factors of 974 are 1, 2, 487, 974
The HCF of 659,974 is 1.
Lets's calculate GCF of 659,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 659
:1,659
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 659,974 . The biggest common factor number is the GCF number.
So the greatest common factor 659,974 is 1.
Lets's calculate LCM of 769,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 109198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109198
Therefore, the GCF of Fractions 659/769,974/142 is 1/109198
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 769,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,142) x common factors =1 x 1 = 1
LCM(769,142) = ( 769 × 142 ) / 1
LCM(769,142) = 109198 / 1
LCM(769,142) = 109198
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 659,974?
The HCF of 659,974 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 659/769, 974/142?
Answer: GCF of Numerators as per given numbers 659/769, 974/142 is
GCF of Numerators i.e. for 659,974 is 1
LCM of denominators i.e. for 769,142 is 109198.
Thus, GCF of Fractions is 1/109198.Finally, GCF of Fractions for 659/769, 974/142 is 1/109198.