GCF of 9553/424, 8313/7464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9553/424, 8313/7464 i.e 1/395592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9553/424, 8313/7464.
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 9553/424,8313/7464?
Given fractions are 9553/424,8313/7464
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 9553/424,8313/7464, numerators are 9553,8313
Denominators are 424,7464
The GCF of 9553,8313 is 1 .
LCM of 424,7464 is 395592.
The greatest common factor of 9553/424,8313/7464 = [GCF of 9553,8313]/[LCM of 424,7464]= 1/395592
Therefore, the GCF of 9553/424,8313/7464 is 1/395592.
To find the highest common factor of 9553,8313, we have to find the factors of both numbers and list the highest common factor.
The factors of 9553 are 1, 41, 233, 9553
The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313
The HCF of 9553,8313 is 1.
Lets's calculate GCF of 9553,8313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9553,8313 By Matching Biggest Common Factor Method
Now, list down the factors of 9553
:1,41,233,9553
Now, list down the factors of 8313
:1,3,17,51,163,489,2771,8313
Greatest Common Factor
We found the factors 9553,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 9553,8313 is 1.
Lets's calculate LCM of 424,7464
| 2 | 424, 7464 |
| 2 | 212, 3732 |
| 2 | 106, 1866 |
| 53, 933 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 933 = 395592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395592
Therefore, the GCF of Fractions 9553/424,8313/7464 is 1/395592
Least Common Multiple of 424,7464 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 424,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,7464) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(424,7464) x common factors =8 x 1 = 8
LCM(424,7464) = ( 424 × 7464 ) / 8
LCM(424,7464) = 3164736 / 8
LCM(424,7464) = 395592
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FAQs on GCF of Fractions of 9553/424, 8313/7464
1. What is the HCF of 9553,8313?
The HCF of 9553,8313 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 9553/424, 8313/7464?
Answer: GCF of Numerators as per given numbers 9553/424, 8313/7464 is
GCF of Numerators i.e. for 9553,8313 is 1
LCM of denominators i.e. for 424,7464 is 395592.
Thus, GCF of Fractions is 1/395592.Finally, GCF of Fractions for 9553/424, 8313/7464 is 1/395592.