GCF of 7299/433, 8530/3089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7299/433, 8530/3089 i.e 1/1337537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7299/433, 8530/3089.
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 7299/433,8530/3089?
Given fractions are 7299/433,8530/3089
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 7299/433,8530/3089, numerators are 7299,8530
Denominators are 433,3089
The GCF of 7299,8530 is 1 .
LCM of 433,3089 is 1337537.
The greatest common factor of 7299/433,8530/3089 = [GCF of 7299,8530]/[LCM of 433,3089]= 1/1337537
Therefore, the GCF of 7299/433,8530/3089 is 1/1337537.
To find the highest common factor of 7299,8530, we have to find the factors of both numbers and list the highest common factor.
The factors of 7299 are 1, 3, 9, 811, 2433, 7299
The factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530
The HCF of 7299,8530 is 1.
Lets's calculate GCF of 7299,8530
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7299,8530 By Matching Biggest Common Factor Method
Now, list down the factors of 7299
:1,3,9,811,2433,7299
Now, list down the factors of 8530
:1,2,5,10,853,1706,4265,8530
Greatest Common Factor
We found the factors 7299,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 7299,8530 is 1.
Lets's calculate LCM of 433,3089
Given numbers has no common factors except 1. So, there LCM is their product i.e 1337537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1337537
Therefore, the GCF of Fractions 7299/433,8530/3089 is 1/1337537
Least Common Multiple of 433,3089 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 433,3089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,3089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,3089) x common factors =1 x 1 = 1
LCM(433,3089) = ( 433 × 3089 ) / 1
LCM(433,3089) = 1337537 / 1
LCM(433,3089) = 1337537
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FAQs on GCF of Fractions of 7299/433, 8530/3089
1. What is the HCF of 7299,8530?
The HCF of 7299,8530 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 7299/433, 8530/3089?
Answer: GCF of Numerators as per given numbers 7299/433, 8530/3089 is
GCF of Numerators i.e. for 7299,8530 is 1
LCM of denominators i.e. for 433,3089 is 1337537.
Thus, GCF of Fractions is 1/1337537.Finally, GCF of Fractions for 7299/433, 8530/3089 is 1/1337537.