GCF of 9292/312, 9017/7687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9292/312, 9017/7687 i.e 1/2398344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9292/312, 9017/7687.
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 9292/312,9017/7687?
Given fractions are 9292/312,9017/7687
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 9292/312,9017/7687, numerators are 9292,9017
Denominators are 312,7687
The GCF of 9292,9017 is 1 .
LCM of 312,7687 is 2398344.
The greatest common factor of 9292/312,9017/7687 = [GCF of 9292,9017]/[LCM of 312,7687]= 1/2398344
Therefore, the GCF of 9292/312,9017/7687 is 1/2398344.
To find the highest common factor of 9292,9017, we have to find the factors of both numbers and list the highest common factor.
The factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292
The factors of 9017 are 1, 71, 127, 9017
The HCF of 9292,9017 is 1.
Lets's calculate GCF of 9292,9017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9292,9017 By Matching Biggest Common Factor Method
Now, list down the factors of 9292
:1,2,4,23,46,92,101,202,404,2323,4646,9292
Now, list down the factors of 9017
:1,71,127,9017
Greatest Common Factor
We found the factors 9292,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 9292,9017 is 1.
Lets's calculate LCM of 312,7687
Given numbers has no common factors except 1. So, there LCM is their product i.e 2398344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2398344
Therefore, the GCF of Fractions 9292/312,9017/7687 is 1/2398344
Least Common Multiple of 312,7687 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 312,7687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,7687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,7687) x common factors =1 x 1 = 1
LCM(312,7687) = ( 312 × 7687 ) / 1
LCM(312,7687) = 2398344 / 1
LCM(312,7687) = 2398344
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FAQs on GCF of Fractions of 9292/312, 9017/7687
1. What is the HCF of 9292,9017?
The HCF of 9292,9017 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 9292/312, 9017/7687?
Answer: GCF of Numerators as per given numbers 9292/312, 9017/7687 is
GCF of Numerators i.e. for 9292,9017 is 1
LCM of denominators i.e. for 312,7687 is 2398344.
Thus, GCF of Fractions is 1/2398344.Finally, GCF of Fractions for 9292/312, 9017/7687 is 1/2398344.