Use our free GCF of Fractions Calculator tool to compute the GCF of 202/772, 200/756 i.e 2/145908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/772, 200/756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/772,200/756
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 202/772,200/756, numerators are 202,200
Denominators are 772,756
The GCF of 202,200 is 2 .
LCM of 772,756 is 145908.
The greatest common factor of 202/772,200/756 = [GCF of 202,200]/[LCM of 772,756]= 2/145908
Therefore, the GCF of 202/772,200/756 is 2/145908.
To find the highest common factor of 202,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 202 are 1, 2, 101, 202
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 202,200 is 2.
Lets's calculate GCF of 202,200
2 | 202, 200 |
101, 100 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 202
:1,2,101,202
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 202,200 . The biggest common factor number is the GCF number.
So the greatest common factor 202,200 is 2.
Lets's calculate LCM of 772,756
2 | 772, 756 |
2 | 386, 378 |
193, 189 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 189 = 145908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145908
Therefore, the GCF of Fractions 202/772,200/756 is 2/145908
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 772,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,756) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,756) x common factors =4 x 1 = 4
LCM(772,756) = ( 772 × 756 ) / 4
LCM(772,756) = 583632 / 4
LCM(772,756) = 145908
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 202,200?
The HCF of 202,200 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 202/772, 200/756?
Answer: GCF of Numerators as per given numbers 202/772, 200/756 is
GCF of Numerators i.e. for 202,200 is 2
LCM of denominators i.e. for 772,756 is 145908.
Thus, GCF of Fractions is 2/145908.Finally, GCF of Fractions for 202/772, 200/756 is 2/145908.