Use our free GCF of Fractions Calculator tool to compute the GCF of 749/952, 259/619 i.e 7/589288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/952, 259/619.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/952,259/619
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 749/952,259/619, numerators are 749,259
Denominators are 952,619
The GCF of 749,259 is 7 .
LCM of 952,619 is 589288.
The greatest common factor of 749/952,259/619 = [GCF of 749,259]/[LCM of 952,619]= 7/589288
Therefore, the GCF of 749/952,259/619 is 7/589288.
To find the highest common factor of 749,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 259 are 1, 7, 37, 259
The HCF of 749,259 is 7.
Lets's calculate GCF of 749,259
7 | 749, 259 |
107, 37 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 749,259 . The biggest common factor number is the GCF number.
So the greatest common factor 749,259 is 7.
Lets's calculate LCM of 952,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 589288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/589288
Therefore, the GCF of Fractions 749/952,259/619 is 7/589288
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 952,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(952,619) x common factors =1 x 1 = 1
LCM(952,619) = ( 952 × 619 ) / 1
LCM(952,619) = 589288 / 1
LCM(952,619) = 589288
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 749,259?
The HCF of 749,259 is 7
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 749/952, 259/619?
Answer: GCF of Numerators as per given numbers 749/952, 259/619 is
GCF of Numerators i.e. for 749,259 is 7
LCM of denominators i.e. for 952,619 is 589288.
Thus, GCF of Fractions is 7/589288.Finally, GCF of Fractions for 749/952, 259/619 is 7/589288.