Use our free GCF of Fractions Calculator tool to compute the GCF of 790/972, 249/289 i.e 1/280908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/972, 249/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/972,249/289
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 790/972,249/289, numerators are 790,249
Denominators are 972,289
The GCF of 790,249 is 1 .
LCM of 972,289 is 280908.
The greatest common factor of 790/972,249/289 = [GCF of 790,249]/[LCM of 972,289]= 1/280908
Therefore, the GCF of 790/972,249/289 is 1/280908.
To find the highest common factor of 790,249, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 249 are 1, 3, 83, 249
The HCF of 790,249 is 1.
Lets's calculate GCF of 790,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 249
:1,3,83,249
Greatest Common Factor
We found the factors 790,249 . The biggest common factor number is the GCF number.
So the greatest common factor 790,249 is 1.
Lets's calculate LCM of 972,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 280908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280908
Therefore, the GCF of Fractions 790/972,249/289 is 1/280908
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 972,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,289) x common factors =1 x 1 = 1
LCM(972,289) = ( 972 × 289 ) / 1
LCM(972,289) = 280908 / 1
LCM(972,289) = 280908
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 790,249?
The HCF of 790,249 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 790/972, 249/289?
Answer: GCF of Numerators as per given numbers 790/972, 249/289 is
GCF of Numerators i.e. for 790,249 is 1
LCM of denominators i.e. for 972,289 is 280908.
Thus, GCF of Fractions is 1/280908.Finally, GCF of Fractions for 790/972, 249/289 is 1/280908.