GCF of 9153/300, 4301/8558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9153/300, 4301/8558 i.e 1/1283700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9153/300, 4301/8558.
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 9153/300,4301/8558?
Given fractions are 9153/300,4301/8558
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 9153/300,4301/8558, numerators are 9153,4301
Denominators are 300,8558
The GCF of 9153,4301 is 1 .
LCM of 300,8558 is 1283700.
The greatest common factor of 9153/300,4301/8558 = [GCF of 9153,4301]/[LCM of 300,8558]= 1/1283700
Therefore, the GCF of 9153/300,4301/8558 is 1/1283700.
To find the highest common factor of 9153,4301, we have to find the factors of both numbers and list the highest common factor.
The factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153
The factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301
The HCF of 9153,4301 is 1.
Lets's calculate GCF of 9153,4301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9153,4301 By Matching Biggest Common Factor Method
Now, list down the factors of 9153
:1,3,9,27,81,113,339,1017,3051,9153
Now, list down the factors of 4301
:1,11,17,23,187,253,391,4301
Greatest Common Factor
We found the factors 9153,4301 . The biggest common factor number is the GCF number.
So the greatest common factor 9153,4301 is 1.
Lets's calculate LCM of 300,8558
| 2 | 300, 8558 |
| 150, 4279 |
∴ So the LCM of the given numbers is 2 x 150 x 4279 = 1283700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1283700
Therefore, the GCF of Fractions 9153/300,4301/8558 is 1/1283700
Least Common Multiple of 300,8558 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 300,8558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,8558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(300,8558) x common factors =2 x 1 = 2
LCM(300,8558) = ( 300 × 8558 ) / 2
LCM(300,8558) = 2567400 / 2
LCM(300,8558) = 1283700
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FAQs on GCF of Fractions of 9153/300, 4301/8558
1. What is the HCF of 9153,4301?
The HCF of 9153,4301 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 9153/300, 4301/8558?
Answer: GCF of Numerators as per given numbers 9153/300, 4301/8558 is
GCF of Numerators i.e. for 9153,4301 is 1
LCM of denominators i.e. for 300,8558 is 1283700.
Thus, GCF of Fractions is 1/1283700.Finally, GCF of Fractions for 9153/300, 4301/8558 is 1/1283700.