GCF of 9603/458, 4744/9204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9603/458, 4744/9204 i.e 1/2107716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9603/458, 4744/9204.
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 9603/458,4744/9204?
Given fractions are 9603/458,4744/9204
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 9603/458,4744/9204, numerators are 9603,4744
Denominators are 458,9204
The GCF of 9603,4744 is 1 .
LCM of 458,9204 is 2107716.
The greatest common factor of 9603/458,4744/9204 = [GCF of 9603,4744]/[LCM of 458,9204]= 1/2107716
Therefore, the GCF of 9603/458,4744/9204 is 1/2107716.
To find the highest common factor of 9603,4744, we have to find the factors of both numbers and list the highest common factor.
The factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
The factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744
The HCF of 9603,4744 is 1.
Lets's calculate GCF of 9603,4744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9603,4744 By Matching Biggest Common Factor Method
Now, list down the factors of 9603
:1,3,9,11,33,97,99,291,873,1067,3201,9603
Now, list down the factors of 4744
:1,2,4,8,593,1186,2372,4744
Greatest Common Factor
We found the factors 9603,4744 . The biggest common factor number is the GCF number.
So the greatest common factor 9603,4744 is 1.
Lets's calculate LCM of 458,9204
| 2 | 458, 9204 |
| 229, 4602 |
∴ So the LCM of the given numbers is 2 x 229 x 4602 = 2107716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2107716
Therefore, the GCF of Fractions 9603/458,4744/9204 is 1/2107716
Least Common Multiple of 458,9204 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 458,9204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,9204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,9204) x common factors =2 x 1 = 2
LCM(458,9204) = ( 458 × 9204 ) / 2
LCM(458,9204) = 4215432 / 2
LCM(458,9204) = 2107716
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FAQs on GCF of Fractions of 9603/458, 4744/9204
1. What is the HCF of 9603,4744?
The HCF of 9603,4744 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 9603/458, 4744/9204?
Answer: GCF of Numerators as per given numbers 9603/458, 4744/9204 is
GCF of Numerators i.e. for 9603,4744 is 1
LCM of denominators i.e. for 458,9204 is 2107716.
Thus, GCF of Fractions is 1/2107716.Finally, GCF of Fractions for 9603/458, 4744/9204 is 1/2107716.