GCF of 4566/361, 5764/9513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4566/361, 5764/9513 i.e 2/3434193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4566/361, 5764/9513.
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 4566/361,5764/9513?
Given fractions are 4566/361,5764/9513
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 4566/361,5764/9513, numerators are 4566,5764
Denominators are 361,9513
The GCF of 4566,5764 is 2 .
LCM of 361,9513 is 3434193.
The greatest common factor of 4566/361,5764/9513 = [GCF of 4566,5764]/[LCM of 361,9513]= 2/3434193
Therefore, the GCF of 4566/361,5764/9513 is 2/3434193.
To find the highest common factor of 4566,5764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The HCF of 4566,5764 is 2.
Lets's calculate GCF of 4566,5764
| 2 | 4566, 5764 |
| 2283, 2882 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4566,5764 By Matching Biggest Common Factor Method
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Greatest Common Factor
We found the factors 4566,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 4566,5764 is 2.
Lets's calculate LCM of 361,9513
Given numbers has no common factors except 1. So, there LCM is their product i.e 3434193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3434193
Therefore, the GCF of Fractions 4566/361,5764/9513 is 2/3434193
Least Common Multiple of 361,9513 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 361,9513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,9513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,9513) x common factors =1 x 1 = 1
LCM(361,9513) = ( 361 × 9513 ) / 1
LCM(361,9513) = 3434193 / 1
LCM(361,9513) = 3434193
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FAQs on GCF of Fractions of 4566/361, 5764/9513
1. What is the HCF of 4566,5764?
The HCF of 4566,5764 is 2
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 4566/361, 5764/9513?
Answer: GCF of Numerators as per given numbers 4566/361, 5764/9513 is
GCF of Numerators i.e. for 4566,5764 is 2
LCM of denominators i.e. for 361,9513 is 3434193.
Thus, GCF of Fractions is 2/3434193.Finally, GCF of Fractions for 4566/361, 5764/9513 is 2/3434193.