GCF of 1212/300, 8455/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1212/300, 8455/852 i.e 1/21300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1212/300, 8455/852.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1212/300,8455/852?
Given fractions are 1212/300,8455/852
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 1212/300,8455/852, numerators are 1212,8455
Denominators are 300,852
The GCF of 1212,8455 is 1 .
LCM of 300,852 is 21300.
The greatest common factor of 1212/300,8455/852 = [GCF of 1212,8455]/[LCM of 300,852]= 1/21300
Therefore, the GCF of 1212/300,8455/852 is 1/21300.
To find the highest common factor of 1212,8455, we have to find the factors of both numbers and list the highest common factor.
The factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212
The factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455
The HCF of 1212,8455 is 1.
Lets's calculate GCF of 1212,8455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1212,8455 By Matching Biggest Common Factor Method
Now, list down the factors of 1212
:1,2,3,4,6,12,101,202,303,404,606,1212
Now, list down the factors of 8455
:1,5,19,89,95,445,1691,8455
Greatest Common Factor
We found the factors 1212,8455 . The biggest common factor number is the GCF number.
So the greatest common factor 1212,8455 is 1.
Lets's calculate LCM of 300,852
| 2 | 300, 852 |
| 2 | 150, 426 |
| 3 | 75, 213 |
| 25, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 71 = 21300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21300
Therefore, the GCF of Fractions 1212/300,8455/852 is 1/21300
Least Common Multiple of 300,852 with GCF Formula
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 300,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(300,852) x common factors =12 x 1 = 12
LCM(300,852) = ( 300 × 852 ) / 12
LCM(300,852) = 255600 / 12
LCM(300,852) = 21300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1212/300, 8455/852
1. What is the HCF of 1212,8455?
The HCF of 1212,8455 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 1212/300, 8455/852?
Answer: GCF of Numerators as per given numbers 1212/300, 8455/852 is
GCF of Numerators i.e. for 1212,8455 is 1
LCM of denominators i.e. for 300,852 is 21300.
Thus, GCF of Fractions is 1/21300.Finally, GCF of Fractions for 1212/300, 8455/852 is 1/21300.