GCF of 324/54, 469/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/54, 469/706 i.e 1/19062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/54, 469/706.
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 324/54,469/706?
Given fractions are 324/54,469/706
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 324/54,469/706, numerators are 324,469
Denominators are 54,706
The GCF of 324,469 is 1 .
LCM of 54,706 is 19062.
The greatest common factor of 324/54,469/706 = [GCF of 324,469]/[LCM of 54,706]= 1/19062
Therefore, the GCF of 324/54,469/706 is 1/19062.
To find the highest common factor of 324,469, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 469 are 1, 7, 67, 469
The HCF of 324,469 is 1.
Lets's calculate GCF of 324,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 324,469 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 469
:1,7,67,469
Greatest Common Factor
We found the factors 324,469 . The biggest common factor number is the GCF number.
So the greatest common factor 324,469 is 1.
Lets's calculate LCM of 54,706
| 2 | 54, 706 |
| 27, 353 |
∴ So the LCM of the given numbers is 2 x 27 x 353 = 19062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19062
Therefore, the GCF of Fractions 324/54,469/706 is 1/19062
Least Common Multiple of 54,706 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 54,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,706) x common factors =2 x 1 = 2
LCM(54,706) = ( 54 × 706 ) / 2
LCM(54,706) = 38124 / 2
LCM(54,706) = 19062
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FAQs on GCF of Fractions of 324/54, 469/706
1. What is the HCF of 324,469?
The HCF of 324,469 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 324/54, 469/706?
Answer: GCF of Numerators as per given numbers 324/54, 469/706 is
GCF of Numerators i.e. for 324,469 is 1
LCM of denominators i.e. for 54,706 is 19062.
Thus, GCF of Fractions is 1/19062.Finally, GCF of Fractions for 324/54, 469/706 is 1/19062.