Use our free GCF of Fractions Calculator tool to compute the GCF of 200/679, 992/828 i.e 8/562212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 200/679, 992/828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 200/679,992/828
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 200/679,992/828, numerators are 200,992
Denominators are 679,828
The GCF of 200,992 is 8 .
LCM of 679,828 is 562212.
The greatest common factor of 200/679,992/828 = [GCF of 200,992]/[LCM of 679,828]= 8/562212
Therefore, the GCF of 200/679,992/828 is 8/562212.
To find the highest common factor of 200,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 200,992 is 8.
Lets's calculate GCF of 200,992
2 | 200, 992 |
2 | 100, 496 |
2 | 50, 248 |
25, 124 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
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 200,992 . The biggest common factor number is the GCF number.
So the greatest common factor 200,992 is 8.
Lets's calculate LCM of 679,828
Given numbers has no common factors except 1. So, there LCM is their product i.e 562212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/562212
Therefore, the GCF of Fractions 200/679,992/828 is 8/562212
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 679,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,828) x common factors =1 x 1 = 1
LCM(679,828) = ( 679 × 828 ) / 1
LCM(679,828) = 562212 / 1
LCM(679,828) = 562212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 200,992?
The HCF of 200,992 is 8
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 200/679, 992/828?
Answer: GCF of Numerators as per given numbers 200/679, 992/828 is
GCF of Numerators i.e. for 200,992 is 8
LCM of denominators i.e. for 679,828 is 562212.
Thus, GCF of Fractions is 8/562212.Finally, GCF of Fractions for 200/679, 992/828 is 8/562212.