GCF of 9269/586, 7416/8527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9269/586, 7416/8527 i.e 1/4996822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9269/586, 7416/8527.
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 9269/586,7416/8527?
Given fractions are 9269/586,7416/8527
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 9269/586,7416/8527, numerators are 9269,7416
Denominators are 586,8527
The GCF of 9269,7416 is 1 .
LCM of 586,8527 is 4996822.
The greatest common factor of 9269/586,7416/8527 = [GCF of 9269,7416]/[LCM of 586,8527]= 1/4996822
Therefore, the GCF of 9269/586,7416/8527 is 1/4996822.
To find the highest common factor of 9269,7416, we have to find the factors of both numbers and list the highest common factor.
The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The HCF of 9269,7416 is 1.
Lets's calculate GCF of 9269,7416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9269,7416 By Matching Biggest Common Factor Method
Now, list down the factors of 9269
:1,13,23,31,299,403,713,9269
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Greatest Common Factor
We found the factors 9269,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 9269,7416 is 1.
Lets's calculate LCM of 586,8527
Given numbers has no common factors except 1. So, there LCM is their product i.e 4996822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4996822
Therefore, the GCF of Fractions 9269/586,7416/8527 is 1/4996822
Least Common Multiple of 586,8527 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 586,8527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8527) x common factors =1 x 1 = 1
LCM(586,8527) = ( 586 × 8527 ) / 1
LCM(586,8527) = 4996822 / 1
LCM(586,8527) = 4996822
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FAQs on GCF of Fractions of 9269/586, 7416/8527
1. What is the HCF of 9269,7416?
The HCF of 9269,7416 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 9269/586, 7416/8527?
Answer: GCF of Numerators as per given numbers 9269/586, 7416/8527 is
GCF of Numerators i.e. for 9269,7416 is 1
LCM of denominators i.e. for 586,8527 is 4996822.
Thus, GCF of Fractions is 1/4996822.Finally, GCF of Fractions for 9269/586, 7416/8527 is 1/4996822.