GCF of 8734/323, 6945/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8734/323, 6945/538 i.e 1/173774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8734/323, 6945/538.
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 8734/323,6945/538?
Given fractions are 8734/323,6945/538
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 8734/323,6945/538, numerators are 8734,6945
Denominators are 323,538
The GCF of 8734,6945 is 1 .
LCM of 323,538 is 173774.
The greatest common factor of 8734/323,6945/538 = [GCF of 8734,6945]/[LCM of 323,538]= 1/173774
Therefore, the GCF of 8734/323,6945/538 is 1/173774.
To find the highest common factor of 8734,6945, we have to find the factors of both numbers and list the highest common factor.
The factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The HCF of 8734,6945 is 1.
Lets's calculate GCF of 8734,6945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8734,6945 By Matching Biggest Common Factor Method
Now, list down the factors of 8734
:1,2,11,22,397,794,4367,8734
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 8734,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 8734,6945 is 1.
Lets's calculate LCM of 323,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 173774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173774
Therefore, the GCF of Fractions 8734/323,6945/538 is 1/173774
Least Common Multiple of 323,538 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 323,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,538) x common factors =1 x 1 = 1
LCM(323,538) = ( 323 × 538 ) / 1
LCM(323,538) = 173774 / 1
LCM(323,538) = 173774
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FAQs on GCF of Fractions of 8734/323, 6945/538
1. What is the HCF of 8734,6945?
The HCF of 8734,6945 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 8734/323, 6945/538?
Answer: GCF of Numerators as per given numbers 8734/323, 6945/538 is
GCF of Numerators i.e. for 8734,6945 is 1
LCM of denominators i.e. for 323,538 is 173774.
Thus, GCF of Fractions is 1/173774.Finally, GCF of Fractions for 8734/323, 6945/538 is 1/173774.