GCF of 9233/915, 9708/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9233/915, 9708/542 i.e 1/495930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9233/915, 9708/542.
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 9233/915,9708/542?
Given fractions are 9233/915,9708/542
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 9233/915,9708/542, numerators are 9233,9708
Denominators are 915,542
The GCF of 9233,9708 is 1 .
LCM of 915,542 is 495930.
The greatest common factor of 9233/915,9708/542 = [GCF of 9233,9708]/[LCM of 915,542]= 1/495930
Therefore, the GCF of 9233/915,9708/542 is 1/495930.
To find the highest common factor of 9233,9708, we have to find the factors of both numbers and list the highest common factor.
The factors of 9233 are 1, 7, 1319, 9233
The factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708
The HCF of 9233,9708 is 1.
Lets's calculate GCF of 9233,9708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9233,9708 By Matching Biggest Common Factor Method
Now, list down the factors of 9233
:1,7,1319,9233
Now, list down the factors of 9708
:1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors 9233,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 9233,9708 is 1.
Lets's calculate LCM of 915,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 495930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495930
Therefore, the GCF of Fractions 9233/915,9708/542 is 1/495930
Least Common Multiple of 915,542 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 915,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(915,542) x common factors =1 x 1 = 1
LCM(915,542) = ( 915 × 542 ) / 1
LCM(915,542) = 495930 / 1
LCM(915,542) = 495930
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FAQs on GCF of Fractions of 9233/915, 9708/542
1. What is the HCF of 9233,9708?
The HCF of 9233,9708 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 9233/915, 9708/542?
Answer: GCF of Numerators as per given numbers 9233/915, 9708/542 is
GCF of Numerators i.e. for 9233,9708 is 1
LCM of denominators i.e. for 915,542 is 495930.
Thus, GCF of Fractions is 1/495930.Finally, GCF of Fractions for 9233/915, 9708/542 is 1/495930.