GCF of 7330/231, 7229/6005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7330/231, 7229/6005 i.e 1/1387155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7330/231, 7229/6005.
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 7330/231,7229/6005?
Given fractions are 7330/231,7229/6005
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 7330/231,7229/6005, numerators are 7330,7229
Denominators are 231,6005
The GCF of 7330,7229 is 1 .
LCM of 231,6005 is 1387155.
The greatest common factor of 7330/231,7229/6005 = [GCF of 7330,7229]/[LCM of 231,6005]= 1/1387155
Therefore, the GCF of 7330/231,7229/6005 is 1/1387155.
To find the highest common factor of 7330,7229, we have to find the factors of both numbers and list the highest common factor.
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The factors of 7229 are 1, 7229
The HCF of 7330,7229 is 1.
Lets's calculate GCF of 7330,7229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7330,7229 By Matching Biggest Common Factor Method
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Now, list down the factors of 7229
:1,7229
Greatest Common Factor
We found the factors 7330,7229 . The biggest common factor number is the GCF number.
So the greatest common factor 7330,7229 is 1.
Lets's calculate LCM of 231,6005
Given numbers has no common factors except 1. So, there LCM is their product i.e 1387155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1387155
Therefore, the GCF of Fractions 7330/231,7229/6005 is 1/1387155
Least Common Multiple of 231,6005 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 231,6005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,6005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,6005) x common factors =1 x 1 = 1
LCM(231,6005) = ( 231 × 6005 ) / 1
LCM(231,6005) = 1387155 / 1
LCM(231,6005) = 1387155
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FAQs on GCF of Fractions of 7330/231, 7229/6005
1. What is the HCF of 7330,7229?
The HCF of 7330,7229 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 7330/231, 7229/6005?
Answer: GCF of Numerators as per given numbers 7330/231, 7229/6005 is
GCF of Numerators i.e. for 7330,7229 is 1
LCM of denominators i.e. for 231,6005 is 1387155.
Thus, GCF of Fractions is 1/1387155.Finally, GCF of Fractions for 7330/231, 7229/6005 is 1/1387155.