Use our free GCF of Fractions Calculator tool to compute the GCF of 794/250, 635/362 i.e 1/45250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/250, 635/362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 794/250,635/362
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 794/250,635/362, numerators are 794,635
Denominators are 250,362
The GCF of 794,635 is 1 .
LCM of 250,362 is 45250.
The greatest common factor of 794/250,635/362 = [GCF of 794,635]/[LCM of 250,362]= 1/45250
Therefore, the GCF of 794/250,635/362 is 1/45250.
To find the highest common factor of 794,635, we have to find the factors of both numbers and list the highest common factor.
The factors of 794 are 1, 2, 397, 794
The factors of 635 are 1, 5, 127, 635
The HCF of 794,635 is 1.
Lets's calculate GCF of 794,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 794
:1,2,397,794
Now, list down the factors of 635
:1,5,127,635
Greatest Common Factor
We found the factors 794,635 . The biggest common factor number is the GCF number.
So the greatest common factor 794,635 is 1.
Lets's calculate LCM of 250,362
2 | 250, 362 |
125, 181 |
∴ So the LCM of the given numbers is 2 x 125 x 181 = 45250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45250
Therefore, the GCF of Fractions 794/250,635/362 is 1/45250
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 250,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,362) x common factors =2 x 1 = 2
LCM(250,362) = ( 250 × 362 ) / 2
LCM(250,362) = 90500 / 2
LCM(250,362) = 45250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 794,635?
The HCF of 794,635 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 794/250, 635/362?
Answer: GCF of Numerators as per given numbers 794/250, 635/362 is
GCF of Numerators i.e. for 794,635 is 1
LCM of denominators i.e. for 250,362 is 45250.
Thus, GCF of Fractions is 1/45250.Finally, GCF of Fractions for 794/250, 635/362 is 1/45250.