GCF of 9017/705, 6512/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9017/705, 6512/584 i.e 1/411720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9017/705, 6512/584.
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 9017/705,6512/584?
Given fractions are 9017/705,6512/584
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 9017/705,6512/584, numerators are 9017,6512
Denominators are 705,584
The GCF of 9017,6512 is 1 .
LCM of 705,584 is 411720.
The greatest common factor of 9017/705,6512/584 = [GCF of 9017,6512]/[LCM of 705,584]= 1/411720
Therefore, the GCF of 9017/705,6512/584 is 1/411720.
To find the highest common factor of 9017,6512, we have to find the factors of both numbers and list the highest common factor.
The factors of 9017 are 1, 71, 127, 9017
The factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512
The HCF of 9017,6512 is 1.
Lets's calculate GCF of 9017,6512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9017,6512 By Matching Biggest Common Factor Method
Now, list down the factors of 9017
:1,71,127,9017
Now, list down the factors of 6512
:1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512
Greatest Common Factor
We found the factors 9017,6512 . The biggest common factor number is the GCF number.
So the greatest common factor 9017,6512 is 1.
Lets's calculate LCM of 705,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 411720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411720
Therefore, the GCF of Fractions 9017/705,6512/584 is 1/411720
Least Common Multiple of 705,584 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 705,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,584) x common factors =1 x 1 = 1
LCM(705,584) = ( 705 × 584 ) / 1
LCM(705,584) = 411720 / 1
LCM(705,584) = 411720
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FAQs on GCF of Fractions of 9017/705, 6512/584
1. What is the HCF of 9017,6512?
The HCF of 9017,6512 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 9017/705, 6512/584?
Answer: GCF of Numerators as per given numbers 9017/705, 6512/584 is
GCF of Numerators i.e. for 9017,6512 is 1
LCM of denominators i.e. for 705,584 is 411720.
Thus, GCF of Fractions is 1/411720.Finally, GCF of Fractions for 9017/705, 6512/584 is 1/411720.