Use our free GCF of Fractions Calculator tool to compute the GCF of 602/904, 812/922 i.e 14/416744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 602/904, 812/922.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/904,812/922
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 602/904,812/922, numerators are 602,812
Denominators are 904,922
The GCF of 602,812 is 14 .
LCM of 904,922 is 416744.
The greatest common factor of 602/904,812/922 = [GCF of 602,812]/[LCM of 904,922]= 14/416744
Therefore, the GCF of 602/904,812/922 is 14/416744.
To find the highest common factor of 602,812, we have to find the factors of both numbers and list the highest common factor.
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The HCF of 602,812 is 14.
Lets's calculate GCF of 602,812
2 | 602, 812 |
7 | 301, 406 |
43, 58 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 602,812 . The biggest common factor number is the GCF number.
So the greatest common factor 602,812 is 14.
Lets's calculate LCM of 904,922
2 | 904, 922 |
452, 461 |
∴ So the LCM of the given numbers is 2 x 452 x 461 = 416744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/416744
Therefore, the GCF of Fractions 602/904,812/922 is 14/416744
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 904,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(904,922) x common factors =2 x 1 = 2
LCM(904,922) = ( 904 × 922 ) / 2
LCM(904,922) = 833488 / 2
LCM(904,922) = 416744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 602,812?
The HCF of 602,812 is 14
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 602/904, 812/922?
Answer: GCF of Numerators as per given numbers 602/904, 812/922 is
GCF of Numerators i.e. for 602,812 is 14
LCM of denominators i.e. for 904,922 is 416744.
Thus, GCF of Fractions is 14/416744.Finally, GCF of Fractions for 602/904, 812/922 is 14/416744.