GCF of 7329/317, 7120/3545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7329/317, 7120/3545 i.e 1/1123765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7329/317, 7120/3545.
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 7329/317,7120/3545?
Given fractions are 7329/317,7120/3545
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 7329/317,7120/3545, numerators are 7329,7120
Denominators are 317,3545
The GCF of 7329,7120 is 1 .
LCM of 317,3545 is 1123765.
The greatest common factor of 7329/317,7120/3545 = [GCF of 7329,7120]/[LCM of 317,3545]= 1/1123765
Therefore, the GCF of 7329/317,7120/3545 is 1/1123765.
To find the highest common factor of 7329,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 7329,7120 is 1.
Lets's calculate GCF of 7329,7120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7329,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 7329
:1,3,7,21,349,1047,2443,7329
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 7329,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 7329,7120 is 1.
Lets's calculate LCM of 317,3545
Given numbers has no common factors except 1. So, there LCM is their product i.e 1123765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1123765
Therefore, the GCF of Fractions 7329/317,7120/3545 is 1/1123765
Least Common Multiple of 317,3545 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 317,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,3545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,3545) x common factors =1 x 1 = 1
LCM(317,3545) = ( 317 × 3545 ) / 1
LCM(317,3545) = 1123765 / 1
LCM(317,3545) = 1123765
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FAQs on GCF of Fractions of 7329/317, 7120/3545
1. What is the HCF of 7329,7120?
The HCF of 7329,7120 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 7329/317, 7120/3545?
Answer: GCF of Numerators as per given numbers 7329/317, 7120/3545 is
GCF of Numerators i.e. for 7329,7120 is 1
LCM of denominators i.e. for 317,3545 is 1123765.
Thus, GCF of Fractions is 1/1123765.Finally, GCF of Fractions for 7329/317, 7120/3545 is 1/1123765.