GCF of 6233/664, 8727/6754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6233/664, 8727/6754 i.e 1/2242328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6233/664, 8727/6754.
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 6233/664,8727/6754?
Given fractions are 6233/664,8727/6754
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 6233/664,8727/6754, numerators are 6233,8727
Denominators are 664,6754
The GCF of 6233,8727 is 1 .
LCM of 664,6754 is 2242328.
The greatest common factor of 6233/664,8727/6754 = [GCF of 6233,8727]/[LCM of 664,6754]= 1/2242328
Therefore, the GCF of 6233/664,8727/6754 is 1/2242328.
To find the highest common factor of 6233,8727, 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 8727 are 1, 3, 2909, 8727
The HCF of 6233,8727 is 1.
Lets's calculate GCF of 6233,8727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6233,8727 By Matching Biggest Common Factor Method
Now, list down the factors of 6233
:1,23,271,6233
Now, list down the factors of 8727
:1,3,2909,8727
Greatest Common Factor
We found the factors 6233,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 6233,8727 is 1.
Lets's calculate LCM of 664,6754
| 2 | 664, 6754 |
| 332, 3377 |
∴ So the LCM of the given numbers is 2 x 332 x 3377 = 2242328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2242328
Therefore, the GCF of Fractions 6233/664,8727/6754 is 1/2242328
Least Common Multiple of 664,6754 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 664,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,6754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,6754) x common factors =2 x 1 = 2
LCM(664,6754) = ( 664 × 6754 ) / 2
LCM(664,6754) = 4484656 / 2
LCM(664,6754) = 2242328
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FAQs on GCF of Fractions of 6233/664, 8727/6754
1. What is the HCF of 6233,8727?
The HCF of 6233,8727 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 6233/664, 8727/6754?
Answer: GCF of Numerators as per given numbers 6233/664, 8727/6754 is
GCF of Numerators i.e. for 6233,8727 is 1
LCM of denominators i.e. for 664,6754 is 2242328.
Thus, GCF of Fractions is 1/2242328.Finally, GCF of Fractions for 6233/664, 8727/6754 is 1/2242328.