GCF of 3297/161, 7229/7427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3297/161, 7229/7427 i.e 1/170821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3297/161, 7229/7427.
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 3297/161,7229/7427?
Given fractions are 3297/161,7229/7427
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 3297/161,7229/7427, numerators are 3297,7229
Denominators are 161,7427
The GCF of 3297,7229 is 1 .
LCM of 161,7427 is 170821.
The greatest common factor of 3297/161,7229/7427 = [GCF of 3297,7229]/[LCM of 161,7427]= 1/170821
Therefore, the GCF of 3297/161,7229/7427 is 1/170821.
To find the highest common factor of 3297,7229, we have to find the factors of both numbers and list the highest common factor.
The factors of 3297 are 1, 3, 7, 21, 157, 471, 1099, 3297
The factors of 7229 are 1, 7229
The HCF of 3297,7229 is 1.
Lets's calculate GCF of 3297,7229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3297,7229 By Matching Biggest Common Factor Method
Now, list down the factors of 3297
:1,3,7,21,157,471,1099,3297
Now, list down the factors of 7229
:1,7229
Greatest Common Factor
We found the factors 3297,7229 . The biggest common factor number is the GCF number.
So the greatest common factor 3297,7229 is 1.
Lets's calculate LCM of 161,7427
| 7 | 161, 7427 |
| 23, 1061 |
∴ So the LCM of the given numbers is 7 x 23 x 1061 = 170821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170821
Therefore, the GCF of Fractions 3297/161,7229/7427 is 1/170821
Least Common Multiple of 161,7427 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 161,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,7427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(161,7427) x common factors =7 x 1 = 7
LCM(161,7427) = ( 161 × 7427 ) / 7
LCM(161,7427) = 1195747 / 7
LCM(161,7427) = 170821
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FAQs on GCF of Fractions of 3297/161, 7229/7427
1. What is the HCF of 3297,7229?
The HCF of 3297,7229 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 3297/161, 7229/7427?
Answer: GCF of Numerators as per given numbers 3297/161, 7229/7427 is
GCF of Numerators i.e. for 3297,7229 is 1
LCM of denominators i.e. for 161,7427 is 170821.
Thus, GCF of Fractions is 1/170821.Finally, GCF of Fractions for 3297/161, 7229/7427 is 1/170821.