Use our free GCF of Fractions Calculator tool to compute the GCF of 802/733, 992/803 i.e 2/588599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 802/733, 992/803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 802/733,992/803
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 802/733,992/803, numerators are 802,992
Denominators are 733,803
The GCF of 802,992 is 2 .
LCM of 733,803 is 588599.
The greatest common factor of 802/733,992/803 = [GCF of 802,992]/[LCM of 733,803]= 2/588599
Therefore, the GCF of 802/733,992/803 is 2/588599.
To find the highest common factor of 802,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 802 are 1, 2, 401, 802
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 802,992 is 2.
Lets's calculate GCF of 802,992
2 | 802, 992 |
401, 496 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 802,992 . The biggest common factor number is the GCF number.
So the greatest common factor 802,992 is 2.
Lets's calculate LCM of 733,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 588599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/588599
Therefore, the GCF of Fractions 802/733,992/803 is 2/588599
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 733,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,803) x common factors =1 x 1 = 1
LCM(733,803) = ( 733 × 803 ) / 1
LCM(733,803) = 588599 / 1
LCM(733,803) = 588599
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 802,992?
The HCF of 802,992 is 2
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 802/733, 992/803?
Answer: GCF of Numerators as per given numbers 802/733, 992/803 is
GCF of Numerators i.e. for 802,992 is 2
LCM of denominators i.e. for 733,803 is 588599.
Thus, GCF of Fractions is 2/588599.Finally, GCF of Fractions for 802/733, 992/803 is 2/588599.