GCF of 9046/733, 6830/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9046/733, 6830/324 i.e 2/237492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9046/733, 6830/324.
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 9046/733,6830/324?
Given fractions are 9046/733,6830/324
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 9046/733,6830/324, numerators are 9046,6830
Denominators are 733,324
The GCF of 9046,6830 is 2 .
LCM of 733,324 is 237492.
The greatest common factor of 9046/733,6830/324 = [GCF of 9046,6830]/[LCM of 733,324]= 2/237492
Therefore, the GCF of 9046/733,6830/324 is 2/237492.
To find the highest common factor of 9046,6830, we have to find the factors of both numbers and list the highest common factor.
The factors of 9046 are 1, 2, 4523, 9046
The factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830
The HCF of 9046,6830 is 2.
Lets's calculate GCF of 9046,6830
| 2 | 9046, 6830 |
| 4523, 3415 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9046,6830 By Matching Biggest Common Factor Method
Now, list down the factors of 9046
:1,2,4523,9046
Now, list down the factors of 6830
:1,2,5,10,683,1366,3415,6830
Greatest Common Factor
We found the factors 9046,6830 . The biggest common factor number is the GCF number.
So the greatest common factor 9046,6830 is 2.
Lets's calculate LCM of 733,324
Given numbers has no common factors except 1. So, there LCM is their product i.e 237492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237492
Therefore, the GCF of Fractions 9046/733,6830/324 is 2/237492
Least Common Multiple of 733,324 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 733,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,324) x common factors =1 x 1 = 1
LCM(733,324) = ( 733 × 324 ) / 1
LCM(733,324) = 237492 / 1
LCM(733,324) = 237492
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FAQs on GCF of Fractions of 9046/733, 6830/324
1. What is the HCF of 9046,6830?
The HCF of 9046,6830 is 2
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 9046/733, 6830/324?
Answer: GCF of Numerators as per given numbers 9046/733, 6830/324 is
GCF of Numerators i.e. for 9046,6830 is 2
LCM of denominators i.e. for 733,324 is 237492.
Thus, GCF of Fractions is 2/237492.Finally, GCF of Fractions for 9046/733, 6830/324 is 2/237492.