GCF of 9329/769, 9079/1369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9329/769, 9079/1369 i.e 1/1052761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9329/769, 9079/1369.
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 9329/769,9079/1369?
Given fractions are 9329/769,9079/1369
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 9329/769,9079/1369, numerators are 9329,9079
Denominators are 769,1369
The GCF of 9329,9079 is 1 .
LCM of 769,1369 is 1052761.
The greatest common factor of 9329/769,9079/1369 = [GCF of 9329,9079]/[LCM of 769,1369]= 1/1052761
Therefore, the GCF of 9329/769,9079/1369 is 1/1052761.
To find the highest common factor of 9329,9079, we have to find the factors of both numbers and list the highest common factor.
The factors of 9329 are 1, 19, 491, 9329
The factors of 9079 are 1, 7, 1297, 9079
The HCF of 9329,9079 is 1.
Lets's calculate GCF of 9329,9079
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9329,9079 By Matching Biggest Common Factor Method
Now, list down the factors of 9329
:1,19,491,9329
Now, list down the factors of 9079
:1,7,1297,9079
Greatest Common Factor
We found the factors 9329,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 9329,9079 is 1.
Lets's calculate LCM of 769,1369
Given numbers has no common factors except 1. So, there LCM is their product i.e 1052761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1052761
Therefore, the GCF of Fractions 9329/769,9079/1369 is 1/1052761
Least Common Multiple of 769,1369 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 769,1369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,1369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,1369) x common factors =1 x 1 = 1
LCM(769,1369) = ( 769 × 1369 ) / 1
LCM(769,1369) = 1052761 / 1
LCM(769,1369) = 1052761
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FAQs on GCF of Fractions of 9329/769, 9079/1369
1. What is the HCF of 9329,9079?
The HCF of 9329,9079 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 9329/769, 9079/1369?
Answer: GCF of Numerators as per given numbers 9329/769, 9079/1369 is
GCF of Numerators i.e. for 9329,9079 is 1
LCM of denominators i.e. for 769,1369 is 1052761.
Thus, GCF of Fractions is 1/1052761.Finally, GCF of Fractions for 9329/769, 9079/1369 is 1/1052761.