GCF of 9433/164, 8550/5184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9433/164, 8550/5184 i.e 1/212544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9433/164, 8550/5184.
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 9433/164,8550/5184?
Given fractions are 9433/164,8550/5184
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 9433/164,8550/5184, numerators are 9433,8550
Denominators are 164,5184
The GCF of 9433,8550 is 1 .
LCM of 164,5184 is 212544.
The greatest common factor of 9433/164,8550/5184 = [GCF of 9433,8550]/[LCM of 164,5184]= 1/212544
Therefore, the GCF of 9433/164,8550/5184 is 1/212544.
To find the highest common factor of 9433,8550, we have to find the factors of both numbers and list the highest common factor.
The factors of 9433 are 1, 9433
The factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550
The HCF of 9433,8550 is 1.
Lets's calculate GCF of 9433,8550
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9433,8550 By Matching Biggest Common Factor Method
Now, list down the factors of 9433
:1,9433
Now, list down the factors of 8550
:1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550
Greatest Common Factor
We found the factors 9433,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 9433,8550 is 1.
Lets's calculate LCM of 164,5184
| 2 | 164, 5184 |
| 2 | 82, 2592 |
| 41, 1296 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 1296 = 212544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212544
Therefore, the GCF of Fractions 9433/164,8550/5184 is 1/212544
Least Common Multiple of 164,5184 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 164,5184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,5184) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,5184) x common factors =4 x 1 = 4
LCM(164,5184) = ( 164 × 5184 ) / 4
LCM(164,5184) = 850176 / 4
LCM(164,5184) = 212544
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FAQs on GCF of Fractions of 9433/164, 8550/5184
1. What is the HCF of 9433,8550?
The HCF of 9433,8550 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 9433/164, 8550/5184?
Answer: GCF of Numerators as per given numbers 9433/164, 8550/5184 is
GCF of Numerators i.e. for 9433,8550 is 1
LCM of denominators i.e. for 164,5184 is 212544.
Thus, GCF of Fractions is 1/212544.Finally, GCF of Fractions for 9433/164, 8550/5184 is 1/212544.