GCF of 6291/463, 5763/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6291/463, 5763/506 i.e 3/234278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6291/463, 5763/506.
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 6291/463,5763/506?
Given fractions are 6291/463,5763/506
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 6291/463,5763/506, numerators are 6291,5763
Denominators are 463,506
The GCF of 6291,5763 is 3 .
LCM of 463,506 is 234278.
The greatest common factor of 6291/463,5763/506 = [GCF of 6291,5763]/[LCM of 463,506]= 3/234278
Therefore, the GCF of 6291/463,5763/506 is 3/234278.
To find the highest common factor of 6291,5763, we have to find the factors of both numbers and list the highest common factor.
The factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The HCF of 6291,5763 is 3.
Lets's calculate GCF of 6291,5763
| 3 | 6291, 5763 |
| 2097, 1921 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6291,5763 By Matching Biggest Common Factor Method
Now, list down the factors of 6291
:1,3,9,27,233,699,2097,6291
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Greatest Common Factor
We found the factors 6291,5763 . The biggest common factor number is the GCF number.
So the greatest common factor 6291,5763 is 3.
Lets's calculate LCM of 463,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 234278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/234278
Therefore, the GCF of Fractions 6291/463,5763/506 is 3/234278
Least Common Multiple of 463,506 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 463,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,506) x common factors =1 x 1 = 1
LCM(463,506) = ( 463 × 506 ) / 1
LCM(463,506) = 234278 / 1
LCM(463,506) = 234278
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FAQs on GCF of Fractions of 6291/463, 5763/506
1. What is the HCF of 6291,5763?
The HCF of 6291,5763 is 3
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 6291/463, 5763/506?
Answer: GCF of Numerators as per given numbers 6291/463, 5763/506 is
GCF of Numerators i.e. for 6291,5763 is 3
LCM of denominators i.e. for 463,506 is 234278.
Thus, GCF of Fractions is 3/234278.Finally, GCF of Fractions for 6291/463, 5763/506 is 3/234278.