GCF of 9203/153, 3966/8449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9203/153, 3966/8449 i.e 1/76041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9203/153, 3966/8449.
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 9203/153,3966/8449?
Given fractions are 9203/153,3966/8449
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 9203/153,3966/8449, numerators are 9203,3966
Denominators are 153,8449
The GCF of 9203,3966 is 1 .
LCM of 153,8449 is 76041.
The greatest common factor of 9203/153,3966/8449 = [GCF of 9203,3966]/[LCM of 153,8449]= 1/76041
Therefore, the GCF of 9203/153,3966/8449 is 1/76041.
To find the highest common factor of 9203,3966, we have to find the factors of both numbers and list the highest common factor.
The factors of 9203 are 1, 9203
The factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966
The HCF of 9203,3966 is 1.
Lets's calculate GCF of 9203,3966
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9203,3966 By Matching Biggest Common Factor Method
Now, list down the factors of 9203
:1,9203
Now, list down the factors of 3966
:1,2,3,6,661,1322,1983,3966
Greatest Common Factor
We found the factors 9203,3966 . The biggest common factor number is the GCF number.
So the greatest common factor 9203,3966 is 1.
Lets's calculate LCM of 153,8449
| 17 | 153, 8449 |
| 9, 497 |
∴ So the LCM of the given numbers is 17 x 9 x 497 = 76041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76041
Therefore, the GCF of Fractions 9203/153,3966/8449 is 1/76041
Least Common Multiple of 153,8449 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 153,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,8449) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(153,8449) x common factors =17 x 1 = 17
LCM(153,8449) = ( 153 × 8449 ) / 17
LCM(153,8449) = 1292697 / 17
LCM(153,8449) = 76041
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FAQs on GCF of Fractions of 9203/153, 3966/8449
1. What is the HCF of 9203,3966?
The HCF of 9203,3966 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 9203/153, 3966/8449?
Answer: GCF of Numerators as per given numbers 9203/153, 3966/8449 is
GCF of Numerators i.e. for 9203,3966 is 1
LCM of denominators i.e. for 153,8449 is 76041.
Thus, GCF of Fractions is 1/76041.Finally, GCF of Fractions for 9203/153, 3966/8449 is 1/76041.