GCF of 430/333, 947/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/333, 947/324 i.e 1/11988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/333, 947/324.
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 430/333,947/324?
Given fractions are 430/333,947/324
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 430/333,947/324, numerators are 430,947
Denominators are 333,324
The GCF of 430,947 is 1 .
LCM of 333,324 is 11988.
The greatest common factor of 430/333,947/324 = [GCF of 430,947]/[LCM of 333,324]= 1/11988
Therefore, the GCF of 430/333,947/324 is 1/11988.
To find the highest common factor of 430,947, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 947 are 1, 947
The HCF of 430,947 is 1.
Lets's calculate GCF of 430,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 430,947 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 947
:1,947
Greatest Common Factor
We found the factors 430,947 . The biggest common factor number is the GCF number.
So the greatest common factor 430,947 is 1.
Lets's calculate LCM of 333,324
| 3 | 333, 324 |
| 3 | 111, 108 |
| 37, 36 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 36 = 11988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11988
Therefore, the GCF of Fractions 430/333,947/324 is 1/11988
Least Common Multiple of 333,324 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 333,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,324) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(333,324) x common factors =9 x 1 = 9
LCM(333,324) = ( 333 × 324 ) / 9
LCM(333,324) = 107892 / 9
LCM(333,324) = 11988
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FAQs on GCF of Fractions of 430/333, 947/324
1. What is the HCF of 430,947?
The HCF of 430,947 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 430/333, 947/324?
Answer: GCF of Numerators as per given numbers 430/333, 947/324 is
GCF of Numerators i.e. for 430,947 is 1
LCM of denominators i.e. for 333,324 is 11988.
Thus, GCF of Fractions is 1/11988.Finally, GCF of Fractions for 430/333, 947/324 is 1/11988.