GCF of 4197/666, 8212/1431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4197/666, 8212/1431 i.e 1/105894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4197/666, 8212/1431.
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 4197/666,8212/1431?
Given fractions are 4197/666,8212/1431
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 4197/666,8212/1431, numerators are 4197,8212
Denominators are 666,1431
The GCF of 4197,8212 is 1 .
LCM of 666,1431 is 105894.
The greatest common factor of 4197/666,8212/1431 = [GCF of 4197,8212]/[LCM of 666,1431]= 1/105894
Therefore, the GCF of 4197/666,8212/1431 is 1/105894.
To find the highest common factor of 4197,8212, we have to find the factors of both numbers and list the highest common factor.
The factors of 4197 are 1, 3, 1399, 4197
The factors of 8212 are 1, 2, 4, 2053, 4106, 8212
The HCF of 4197,8212 is 1.
Lets's calculate GCF of 4197,8212
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4197,8212 By Matching Biggest Common Factor Method
Now, list down the factors of 4197
:1,3,1399,4197
Now, list down the factors of 8212
:1,2,4,2053,4106,8212
Greatest Common Factor
We found the factors 4197,8212 . The biggest common factor number is the GCF number.
So the greatest common factor 4197,8212 is 1.
Lets's calculate LCM of 666,1431
| 3 | 666, 1431 |
| 3 | 222, 477 |
| 74, 159 |
∴ So the LCM of the given numbers is 3 x 3 x 74 x 159 = 105894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105894
Therefore, the GCF of Fractions 4197/666,8212/1431 is 1/105894
Least Common Multiple of 666,1431 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 666,1431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,1431) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(666,1431) x common factors =9 x 1 = 9
LCM(666,1431) = ( 666 × 1431 ) / 9
LCM(666,1431) = 953046 / 9
LCM(666,1431) = 105894
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4197/666, 8212/1431
1. What is the HCF of 4197,8212?
The HCF of 4197,8212 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 4197/666, 8212/1431?
Answer: GCF of Numerators as per given numbers 4197/666, 8212/1431 is
GCF of Numerators i.e. for 4197,8212 is 1
LCM of denominators i.e. for 666,1431 is 105894.
Thus, GCF of Fractions is 1/105894.Finally, GCF of Fractions for 4197/666, 8212/1431 is 1/105894.