GCF of 9384/307, 9149/679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9384/307, 9149/679 i.e 1/208453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9384/307, 9149/679.
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 9384/307,9149/679?
Given fractions are 9384/307,9149/679
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 9384/307,9149/679, numerators are 9384,9149
Denominators are 307,679
The GCF of 9384,9149 is 1 .
LCM of 307,679 is 208453.
The greatest common factor of 9384/307,9149/679 = [GCF of 9384,9149]/[LCM of 307,679]= 1/208453
Therefore, the GCF of 9384/307,9149/679 is 1/208453.
To find the highest common factor of 9384,9149, we have to find the factors of both numbers and list the highest common factor.
The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384
The factors of 9149 are 1, 7, 1307, 9149
The HCF of 9384,9149 is 1.
Lets's calculate GCF of 9384,9149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9384,9149 By Matching Biggest Common Factor Method
Now, list down the factors of 9384
:1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Now, list down the factors of 9149
:1,7,1307,9149
Greatest Common Factor
We found the factors 9384,9149 . The biggest common factor number is the GCF number.
So the greatest common factor 9384,9149 is 1.
Lets's calculate LCM of 307,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 208453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208453
Therefore, the GCF of Fractions 9384/307,9149/679 is 1/208453
Least Common Multiple of 307,679 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 307,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,679) x common factors =1 x 1 = 1
LCM(307,679) = ( 307 × 679 ) / 1
LCM(307,679) = 208453 / 1
LCM(307,679) = 208453
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FAQs on GCF of Fractions of 9384/307, 9149/679
1. What is the HCF of 9384,9149?
The HCF of 9384,9149 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 9384/307, 9149/679?
Answer: GCF of Numerators as per given numbers 9384/307, 9149/679 is
GCF of Numerators i.e. for 9384,9149 is 1
LCM of denominators i.e. for 307,679 is 208453.
Thus, GCF of Fractions is 1/208453.Finally, GCF of Fractions for 9384/307, 9149/679 is 1/208453.