GCF of 6822/460, 2433/195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6822/460, 2433/195 i.e 3/17940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6822/460, 2433/195.
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 6822/460,2433/195?
Given fractions are 6822/460,2433/195
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 6822/460,2433/195, numerators are 6822,2433
Denominators are 460,195
The GCF of 6822,2433 is 3 .
LCM of 460,195 is 17940.
The greatest common factor of 6822/460,2433/195 = [GCF of 6822,2433]/[LCM of 460,195]= 3/17940
Therefore, the GCF of 6822/460,2433/195 is 3/17940.
To find the highest common factor of 6822,2433, we have to find the factors of both numbers and list the highest common factor.
The factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822
The factors of 2433 are 1, 3, 811, 2433
The HCF of 6822,2433 is 3.
Lets's calculate GCF of 6822,2433
| 3 | 6822, 2433 |
| 2274, 811 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6822,2433 By Matching Biggest Common Factor Method
Now, list down the factors of 6822
:1,2,3,6,9,18,379,758,1137,2274,3411,6822
Now, list down the factors of 2433
:1,3,811,2433
Greatest Common Factor
We found the factors 6822,2433 . The biggest common factor number is the GCF number.
So the greatest common factor 6822,2433 is 3.
Lets's calculate LCM of 460,195
| 5 | 460, 195 |
| 92, 39 |
∴ So the LCM of the given numbers is 5 x 92 x 39 = 17940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17940
Therefore, the GCF of Fractions 6822/460,2433/195 is 3/17940
Least Common Multiple of 460,195 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 460,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,195) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(460,195) x common factors =5 x 1 = 5
LCM(460,195) = ( 460 × 195 ) / 5
LCM(460,195) = 89700 / 5
LCM(460,195) = 17940
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FAQs on GCF of Fractions of 6822/460, 2433/195
1. What is the HCF of 6822,2433?
The HCF of 6822,2433 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 6822/460, 2433/195?
Answer: GCF of Numerators as per given numbers 6822/460, 2433/195 is
GCF of Numerators i.e. for 6822,2433 is 3
LCM of denominators i.e. for 460,195 is 17940.
Thus, GCF of Fractions is 3/17940.Finally, GCF of Fractions for 6822/460, 2433/195 is 3/17940.