GCF of 4562/318, 6806/2372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4562/318, 6806/2372 i.e 2/377148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4562/318, 6806/2372.
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 4562/318,6806/2372?
Given fractions are 4562/318,6806/2372
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 4562/318,6806/2372, numerators are 4562,6806
Denominators are 318,2372
The GCF of 4562,6806 is 2 .
LCM of 318,2372 is 377148.
The greatest common factor of 4562/318,6806/2372 = [GCF of 4562,6806]/[LCM of 318,2372]= 2/377148
Therefore, the GCF of 4562/318,6806/2372 is 2/377148.
To find the highest common factor of 4562,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 4562 are 1, 2, 2281, 4562
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 4562,6806 is 2.
Lets's calculate GCF of 4562,6806
| 2 | 4562, 6806 |
| 2281, 3403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4562,6806 By Matching Biggest Common Factor Method
Now, list down the factors of 4562
:1,2,2281,4562
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 4562,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 4562,6806 is 2.
Lets's calculate LCM of 318,2372
| 2 | 318, 2372 |
| 159, 1186 |
∴ So the LCM of the given numbers is 2 x 159 x 1186 = 377148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/377148
Therefore, the GCF of Fractions 4562/318,6806/2372 is 2/377148
Least Common Multiple of 318,2372 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 318,2372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,2372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,2372) x common factors =2 x 1 = 2
LCM(318,2372) = ( 318 × 2372 ) / 2
LCM(318,2372) = 754296 / 2
LCM(318,2372) = 377148
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FAQs on GCF of Fractions of 4562/318, 6806/2372
1. What is the HCF of 4562,6806?
The HCF of 4562,6806 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 4562/318, 6806/2372?
Answer: GCF of Numerators as per given numbers 4562/318, 6806/2372 is
GCF of Numerators i.e. for 4562,6806 is 2
LCM of denominators i.e. for 318,2372 is 377148.
Thus, GCF of Fractions is 2/377148.Finally, GCF of Fractions for 4562/318, 6806/2372 is 2/377148.