GCF of 4633/549, 9580/8163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4633/549, 9580/8163 i.e 1/497943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4633/549, 9580/8163.
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 4633/549,9580/8163?
Given fractions are 4633/549,9580/8163
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 4633/549,9580/8163, numerators are 4633,9580
Denominators are 549,8163
The GCF of 4633,9580 is 1 .
LCM of 549,8163 is 497943.
The greatest common factor of 4633/549,9580/8163 = [GCF of 4633,9580]/[LCM of 549,8163]= 1/497943
Therefore, the GCF of 4633/549,9580/8163 is 1/497943.
To find the highest common factor of 4633,9580, we have to find the factors of both numbers and list the highest common factor.
The factors of 4633 are 1, 41, 113, 4633
The factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580
The HCF of 4633,9580 is 1.
Lets's calculate GCF of 4633,9580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4633,9580 By Matching Biggest Common Factor Method
Now, list down the factors of 4633
:1,41,113,4633
Now, list down the factors of 9580
:1,2,4,5,10,20,479,958,1916,2395,4790,9580
Greatest Common Factor
We found the factors 4633,9580 . The biggest common factor number is the GCF number.
So the greatest common factor 4633,9580 is 1.
Lets's calculate LCM of 549,8163
| 3 | 549, 8163 |
| 3 | 183, 2721 |
| 61, 907 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 907 = 497943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497943
Therefore, the GCF of Fractions 4633/549,9580/8163 is 1/497943
Least Common Multiple of 549,8163 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 549,8163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,8163) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(549,8163) x common factors =9 x 1 = 9
LCM(549,8163) = ( 549 × 8163 ) / 9
LCM(549,8163) = 4481487 / 9
LCM(549,8163) = 497943
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FAQs on GCF of Fractions of 4633/549, 9580/8163
1. What is the HCF of 4633,9580?
The HCF of 4633,9580 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 4633/549, 9580/8163?
Answer: GCF of Numerators as per given numbers 4633/549, 9580/8163 is
GCF of Numerators i.e. for 4633,9580 is 1
LCM of denominators i.e. for 549,8163 is 497943.
Thus, GCF of Fractions is 1/497943.Finally, GCF of Fractions for 4633/549, 9580/8163 is 1/497943.