Use our free GCF of Fractions Calculator tool to compute the GCF of 202/825, 771/180 i.e 1/9900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/825, 771/180.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/825,771/180
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 202/825,771/180, numerators are 202,771
Denominators are 825,180
The GCF of 202,771 is 1 .
LCM of 825,180 is 9900.
The greatest common factor of 202/825,771/180 = [GCF of 202,771]/[LCM of 825,180]= 1/9900
Therefore, the GCF of 202/825,771/180 is 1/9900.
To find the highest common factor of 202,771, 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 771 are 1, 3, 257, 771
The HCF of 202,771 is 1.
Lets's calculate GCF of 202,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 202
:1,2,101,202
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 202,771 . The biggest common factor number is the GCF number.
So the greatest common factor 202,771 is 1.
Lets's calculate LCM of 825,180
3 | 825, 180 |
5 | 275, 60 |
55, 12 |
∴ So the LCM of the given numbers is 3 x 5 x 55 x 12 = 9900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9900
Therefore, the GCF of Fractions 202/825,771/180 is 1/9900
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 825,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,180) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(825,180) x common factors =15 x 1 = 15
LCM(825,180) = ( 825 × 180 ) / 15
LCM(825,180) = 148500 / 15
LCM(825,180) = 9900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 202,771?
The HCF of 202,771 is 1
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 202/825, 771/180?
Answer: GCF of Numerators as per given numbers 202/825, 771/180 is
GCF of Numerators i.e. for 202,771 is 1
LCM of denominators i.e. for 825,180 is 9900.
Thus, GCF of Fractions is 1/9900.Finally, GCF of Fractions for 202/825, 771/180 is 1/9900.