GCF of 6222/231, 6429/2735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6222/231, 6429/2735 i.e 3/631785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6222/231, 6429/2735.
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 6222/231,6429/2735?
Given fractions are 6222/231,6429/2735
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 6222/231,6429/2735, numerators are 6222,6429
Denominators are 231,2735
The GCF of 6222,6429 is 3 .
LCM of 231,2735 is 631785.
The greatest common factor of 6222/231,6429/2735 = [GCF of 6222,6429]/[LCM of 231,2735]= 3/631785
Therefore, the GCF of 6222/231,6429/2735 is 3/631785.
To find the highest common factor of 6222,6429, we have to find the factors of both numbers and list the highest common factor.
The factors of 6222 are 1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222
The factors of 6429 are 1, 3, 2143, 6429
The HCF of 6222,6429 is 3.
Lets's calculate GCF of 6222,6429
| 3 | 6222, 6429 |
| 2074, 2143 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6222,6429 By Matching Biggest Common Factor Method
Now, list down the factors of 6222
:1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222
Now, list down the factors of 6429
:1,3,2143,6429
Greatest Common Factor
We found the factors 6222,6429 . The biggest common factor number is the GCF number.
So the greatest common factor 6222,6429 is 3.
Lets's calculate LCM of 231,2735
Given numbers has no common factors except 1. So, there LCM is their product i.e 631785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/631785
Therefore, the GCF of Fractions 6222/231,6429/2735 is 3/631785
Least Common Multiple of 231,2735 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 231,2735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,2735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,2735) x common factors =1 x 1 = 1
LCM(231,2735) = ( 231 × 2735 ) / 1
LCM(231,2735) = 631785 / 1
LCM(231,2735) = 631785
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FAQs on GCF of Fractions of 6222/231, 6429/2735
1. What is the HCF of 6222,6429?
The HCF of 6222,6429 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 6222/231, 6429/2735?
Answer: GCF of Numerators as per given numbers 6222/231, 6429/2735 is
GCF of Numerators i.e. for 6222,6429 is 3
LCM of denominators i.e. for 231,2735 is 631785.
Thus, GCF of Fractions is 3/631785.Finally, GCF of Fractions for 6222/231, 6429/2735 is 3/631785.