GCF of 9469/717, 3708/1331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9469/717, 3708/1331 i.e 1/954327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9469/717, 3708/1331.
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 9469/717,3708/1331?
Given fractions are 9469/717,3708/1331
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 9469/717,3708/1331, numerators are 9469,3708
Denominators are 717,1331
The GCF of 9469,3708 is 1 .
LCM of 717,1331 is 954327.
The greatest common factor of 9469/717,3708/1331 = [GCF of 9469,3708]/[LCM of 717,1331]= 1/954327
Therefore, the GCF of 9469/717,3708/1331 is 1/954327.
To find the highest common factor of 9469,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 9469 are 1, 17, 557, 9469
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 9469,3708 is 1.
Lets's calculate GCF of 9469,3708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9469,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 9469
:1,17,557,9469
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 9469,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 9469,3708 is 1.
Lets's calculate LCM of 717,1331
Given numbers has no common factors except 1. So, there LCM is their product i.e 954327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954327
Therefore, the GCF of Fractions 9469/717,3708/1331 is 1/954327
Least Common Multiple of 717,1331 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 717,1331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,1331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,1331) x common factors =1 x 1 = 1
LCM(717,1331) = ( 717 × 1331 ) / 1
LCM(717,1331) = 954327 / 1
LCM(717,1331) = 954327
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FAQs on GCF of Fractions of 9469/717, 3708/1331
1. What is the HCF of 9469,3708?
The HCF of 9469,3708 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 9469/717, 3708/1331?
Answer: GCF of Numerators as per given numbers 9469/717, 3708/1331 is
GCF of Numerators i.e. for 9469,3708 is 1
LCM of denominators i.e. for 717,1331 is 954327.
Thus, GCF of Fractions is 1/954327.Finally, GCF of Fractions for 9469/717, 3708/1331 is 1/954327.