GCF of 6233/50, 9522/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6233/50, 9522/263 i.e 23/13150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6233/50, 9522/263.
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 6233/50,9522/263?
Given fractions are 6233/50,9522/263
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 6233/50,9522/263, numerators are 6233,9522
Denominators are 50,263
The GCF of 6233,9522 is 23 .
LCM of 50,263 is 13150.
The greatest common factor of 6233/50,9522/263 = [GCF of 6233,9522]/[LCM of 50,263]= 23/13150
Therefore, the GCF of 6233/50,9522/263 is 23/13150.
To find the highest common factor of 6233,9522, we have to find the factors of both numbers and list the highest common factor.
The factors of 6233 are 1, 23, 271, 6233
The factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522
The HCF of 6233,9522 is 23.
Lets's calculate GCF of 6233,9522
| 23 | 6233, 9522 |
| 271, 414 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6233,9522 By Matching Biggest Common Factor Method
Now, list down the factors of 6233
:1,23,271,6233
Now, list down the factors of 9522
:1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522
Greatest Common Factor
We found the factors 6233,9522 . The biggest common factor number is the GCF number.
So the greatest common factor 6233,9522 is 23.
Lets's calculate LCM of 50,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 13150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/13150
Therefore, the GCF of Fractions 6233/50,9522/263 is 23/13150
Least Common Multiple of 50,263 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 50,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,263) x common factors =1 x 1 = 1
LCM(50,263) = ( 50 × 263 ) / 1
LCM(50,263) = 13150 / 1
LCM(50,263) = 13150
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FAQs on GCF of Fractions of 6233/50, 9522/263
1. What is the HCF of 6233,9522?
The HCF of 6233,9522 is 23
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 6233/50, 9522/263?
Answer: GCF of Numerators as per given numbers 6233/50, 9522/263 is
GCF of Numerators i.e. for 6233,9522 is 23
LCM of denominators i.e. for 50,263 is 13150.
Thus, GCF of Fractions is 23/13150.Finally, GCF of Fractions for 6233/50, 9522/263 is 23/13150.