GCF of 4566/510, 1995/7818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4566/510, 1995/7818 i.e 3/664530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4566/510, 1995/7818.
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 4566/510,1995/7818?
Given fractions are 4566/510,1995/7818
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 4566/510,1995/7818, numerators are 4566,1995
Denominators are 510,7818
The GCF of 4566,1995 is 3 .
LCM of 510,7818 is 664530.
The greatest common factor of 4566/510,1995/7818 = [GCF of 4566,1995]/[LCM of 510,7818]= 3/664530
Therefore, the GCF of 4566/510,1995/7818 is 3/664530.
To find the highest common factor of 4566,1995, 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 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
The HCF of 4566,1995 is 3.
Lets's calculate GCF of 4566,1995
| 3 | 4566, 1995 |
| 1522, 665 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4566,1995 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 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
Greatest Common Factor
We found the factors 4566,1995 . The biggest common factor number is the GCF number.
So the greatest common factor 4566,1995 is 3.
Lets's calculate LCM of 510,7818
| 2 | 510, 7818 |
| 3 | 255, 3909 |
| 85, 1303 |
∴ So the LCM of the given numbers is 2 x 3 x 85 x 1303 = 664530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/664530
Therefore, the GCF of Fractions 4566/510,1995/7818 is 3/664530
Least Common Multiple of 510,7818 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 510,7818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,7818) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(510,7818) x common factors =6 x 1 = 6
LCM(510,7818) = ( 510 × 7818 ) / 6
LCM(510,7818) = 3987180 / 6
LCM(510,7818) = 664530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4566/510, 1995/7818
1. What is the HCF of 4566,1995?
The HCF of 4566,1995 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 4566/510, 1995/7818?
Answer: GCF of Numerators as per given numbers 4566/510, 1995/7818 is
GCF of Numerators i.e. for 4566,1995 is 3
LCM of denominators i.e. for 510,7818 is 664530.
Thus, GCF of Fractions is 3/664530.Finally, GCF of Fractions for 4566/510, 1995/7818 is 3/664530.