GCF of 7409/925, 1611/7329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7409/925, 1611/7329 i.e 1/6779325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7409/925, 1611/7329.
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 7409/925,1611/7329?
Given fractions are 7409/925,1611/7329
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 7409/925,1611/7329, numerators are 7409,1611
Denominators are 925,7329
The GCF of 7409,1611 is 1 .
LCM of 925,7329 is 6779325.
The greatest common factor of 7409/925,1611/7329 = [GCF of 7409,1611]/[LCM of 925,7329]= 1/6779325
Therefore, the GCF of 7409/925,1611/7329 is 1/6779325.
To find the highest common factor of 7409,1611, we have to find the factors of both numbers and list the highest common factor.
The factors of 7409 are 1, 31, 239, 7409
The factors of 1611 are 1, 3, 9, 179, 537, 1611
The HCF of 7409,1611 is 1.
Lets's calculate GCF of 7409,1611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7409,1611 By Matching Biggest Common Factor Method
Now, list down the factors of 7409
:1,31,239,7409
Now, list down the factors of 1611
:1,3,9,179,537,1611
Greatest Common Factor
We found the factors 7409,1611 . The biggest common factor number is the GCF number.
So the greatest common factor 7409,1611 is 1.
Lets's calculate LCM of 925,7329
Given numbers has no common factors except 1. So, there LCM is their product i.e 6779325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6779325
Therefore, the GCF of Fractions 7409/925,1611/7329 is 1/6779325
Least Common Multiple of 925,7329 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 925,7329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,7329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,7329) x common factors =1 x 1 = 1
LCM(925,7329) = ( 925 × 7329 ) / 1
LCM(925,7329) = 6779325 / 1
LCM(925,7329) = 6779325
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FAQs on GCF of Fractions of 7409/925, 1611/7329
1. What is the HCF of 7409,1611?
The HCF of 7409,1611 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 7409/925, 1611/7329?
Answer: GCF of Numerators as per given numbers 7409/925, 1611/7329 is
GCF of Numerators i.e. for 7409,1611 is 1
LCM of denominators i.e. for 925,7329 is 6779325.
Thus, GCF of Fractions is 1/6779325.Finally, GCF of Fractions for 7409/925, 1611/7329 is 1/6779325.