Use our free GCF of Fractions Calculator tool to compute the GCF of 2145/787, 2022/4123 i.e 3/3244801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2145/787, 2022/4123.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2145/787,2022/4123
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 2145/787,2022/4123, numerators are 2145,2022
Denominators are 787,4123
The GCF of 2145,2022 is 3 .
LCM of 787,4123 is 3244801.
The greatest common factor of 2145/787,2022/4123 = [GCF of 2145,2022]/[LCM of 787,4123]= 3/3244801
Therefore, the GCF of 2145/787,2022/4123 is 3/3244801.
To find the highest common factor of 2145,2022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The HCF of 2145,2022 is 3.
Lets's calculate GCF of 2145,2022
3 | 2145, 2022 |
715, 674 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2145
:1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Greatest Common Factor
We found the factors 2145,2022 . The biggest common factor number is the GCF number.
So the greatest common factor 2145,2022 is 3.
Lets's calculate LCM of 787,4123
Given numbers has no common factors except 1. So, there LCM is their product i.e 3244801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3244801
Therefore, the GCF of Fractions 2145/787,2022/4123 is 3/3244801
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 787,4123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,4123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,4123) x common factors =1 x 1 = 1
LCM(787,4123) = ( 787 × 4123 ) / 1
LCM(787,4123) = 3244801 / 1
LCM(787,4123) = 3244801
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2145,2022?
The HCF of 2145,2022 is 3
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 2145/787, 2022/4123?
Answer: GCF of Numerators as per given numbers 2145/787, 2022/4123 is
GCF of Numerators i.e. for 2145,2022 is 3
LCM of denominators i.e. for 787,4123 is 3244801.
Thus, GCF of Fractions is 3/3244801.Finally, GCF of Fractions for 2145/787, 2022/4123 is 3/3244801.