GCF of 9263/904, 3283/4532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9263/904, 3283/4532 i.e 1/1024232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9263/904, 3283/4532.
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 9263/904,3283/4532?
Given fractions are 9263/904,3283/4532
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 9263/904,3283/4532, numerators are 9263,3283
Denominators are 904,4532
The GCF of 9263,3283 is 1 .
LCM of 904,4532 is 1024232.
The greatest common factor of 9263/904,3283/4532 = [GCF of 9263,3283]/[LCM of 904,4532]= 1/1024232
Therefore, the GCF of 9263/904,3283/4532 is 1/1024232.
To find the highest common factor of 9263,3283, we have to find the factors of both numbers and list the highest common factor.
The factors of 9263 are 1, 59, 157, 9263
The factors of 3283 are 1, 7, 49, 67, 469, 3283
The HCF of 9263,3283 is 1.
Lets's calculate GCF of 9263,3283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9263,3283 By Matching Biggest Common Factor Method
Now, list down the factors of 9263
:1,59,157,9263
Now, list down the factors of 3283
:1,7,49,67,469,3283
Greatest Common Factor
We found the factors 9263,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 9263,3283 is 1.
Lets's calculate LCM of 904,4532
| 2 | 904, 4532 |
| 2 | 452, 2266 |
| 226, 1133 |
∴ So the LCM of the given numbers is 2 x 2 x 226 x 1133 = 1024232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024232
Therefore, the GCF of Fractions 9263/904,3283/4532 is 1/1024232
Least Common Multiple of 904,4532 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 904,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,4532) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(904,4532) x common factors =4 x 1 = 4
LCM(904,4532) = ( 904 × 4532 ) / 4
LCM(904,4532) = 4096928 / 4
LCM(904,4532) = 1024232
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FAQs on GCF of Fractions of 9263/904, 3283/4532
1. What is the HCF of 9263,3283?
The HCF of 9263,3283 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 9263/904, 3283/4532?
Answer: GCF of Numerators as per given numbers 9263/904, 3283/4532 is
GCF of Numerators i.e. for 9263,3283 is 1
LCM of denominators i.e. for 904,4532 is 1024232.
Thus, GCF of Fractions is 1/1024232.Finally, GCF of Fractions for 9263/904, 3283/4532 is 1/1024232.