Use our free GCF of Fractions Calculator tool to compute the GCF of 790/522, 635/551 i.e 5/9918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/522, 635/551.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/522,635/551
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 790/522,635/551, numerators are 790,635
Denominators are 522,551
The GCF of 790,635 is 5 .
LCM of 522,551 is 9918.
The greatest common factor of 790/522,635/551 = [GCF of 790,635]/[LCM of 522,551]= 5/9918
Therefore, the GCF of 790/522,635/551 is 5/9918.
To find the highest common factor of 790,635, 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 635 are 1, 5, 127, 635
The HCF of 790,635 is 5.
Lets's calculate GCF of 790,635
5 | 790, 635 |
158, 127 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 635
:1,5,127,635
Greatest Common Factor
We found the factors 790,635 . The biggest common factor number is the GCF number.
So the greatest common factor 790,635 is 5.
Lets's calculate LCM of 522,551
29 | 522, 551 |
18, 19 |
∴ So the LCM of the given numbers is 29 x 18 x 19 = 9918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9918
Therefore, the GCF of Fractions 790/522,635/551 is 5/9918
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 522,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,551) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(522,551) x common factors =29 x 1 = 29
LCM(522,551) = ( 522 × 551 ) / 29
LCM(522,551) = 287622 / 29
LCM(522,551) = 9918
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 790,635?
The HCF of 790,635 is 5
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 790/522, 635/551?
Answer: GCF of Numerators as per given numbers 790/522, 635/551 is
GCF of Numerators i.e. for 790,635 is 5
LCM of denominators i.e. for 522,551 is 9918.
Thus, GCF of Fractions is 5/9918.Finally, GCF of Fractions for 790/522, 635/551 is 5/9918.