GCF of 3609/301, 3082/8741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3609/301, 3082/8741 i.e 1/2631041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3609/301, 3082/8741.
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 3609/301,3082/8741?
Given fractions are 3609/301,3082/8741
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 3609/301,3082/8741, numerators are 3609,3082
Denominators are 301,8741
The GCF of 3609,3082 is 1 .
LCM of 301,8741 is 2631041.
The greatest common factor of 3609/301,3082/8741 = [GCF of 3609,3082]/[LCM of 301,8741]= 1/2631041
Therefore, the GCF of 3609/301,3082/8741 is 1/2631041.
To find the highest common factor of 3609,3082, we have to find the factors of both numbers and list the highest common factor.
The factors of 3609 are 1, 3, 9, 401, 1203, 3609
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The HCF of 3609,3082 is 1.
Lets's calculate GCF of 3609,3082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3609,3082 By Matching Biggest Common Factor Method
Now, list down the factors of 3609
:1,3,9,401,1203,3609
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors 3609,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 3609,3082 is 1.
Lets's calculate LCM of 301,8741
Given numbers has no common factors except 1. So, there LCM is their product i.e 2631041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2631041
Therefore, the GCF of Fractions 3609/301,3082/8741 is 1/2631041
Least Common Multiple of 301,8741 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 301,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,8741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,8741) x common factors =1 x 1 = 1
LCM(301,8741) = ( 301 × 8741 ) / 1
LCM(301,8741) = 2631041 / 1
LCM(301,8741) = 2631041
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FAQs on GCF of Fractions of 3609/301, 3082/8741
1. What is the HCF of 3609,3082?
The HCF of 3609,3082 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 3609/301, 3082/8741?
Answer: GCF of Numerators as per given numbers 3609/301, 3082/8741 is
GCF of Numerators i.e. for 3609,3082 is 1
LCM of denominators i.e. for 301,8741 is 2631041.
Thus, GCF of Fractions is 1/2631041.Finally, GCF of Fractions for 3609/301, 3082/8741 is 1/2631041.