GCF of 5148/363, 1020/4017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5148/363, 1020/4017 i.e 12/486057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5148/363, 1020/4017.
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 5148/363,1020/4017?
Given fractions are 5148/363,1020/4017
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 5148/363,1020/4017, numerators are 5148,1020
Denominators are 363,4017
The GCF of 5148,1020 is 12 .
LCM of 363,4017 is 486057.
The greatest common factor of 5148/363,1020/4017 = [GCF of 5148,1020]/[LCM of 363,4017]= 12/486057
Therefore, the GCF of 5148/363,1020/4017 is 12/486057.
To find the highest common factor of 5148,1020, we have to find the factors of both numbers and list the highest common factor.
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020
The HCF of 5148,1020 is 12.
Lets's calculate GCF of 5148,1020
| 2 | 5148, 1020 |
| 2 | 2574, 510 |
| 3 | 1287, 255 |
| 429, 85 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5148,1020 By Matching Biggest Common Factor Method
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Now, list down the factors of 1020
:1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020
Greatest Common Factor
We found the factors 5148,1020 . The biggest common factor number is the GCF number.
So the greatest common factor 5148,1020 is 12.
Lets's calculate LCM of 363,4017
| 3 | 363, 4017 |
| 121, 1339 |
∴ So the LCM of the given numbers is 3 x 121 x 1339 = 486057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/486057
Therefore, the GCF of Fractions 5148/363,1020/4017 is 12/486057
Least Common Multiple of 363,4017 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 363,4017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,4017) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,4017) x common factors =3 x 1 = 3
LCM(363,4017) = ( 363 × 4017 ) / 3
LCM(363,4017) = 1458171 / 3
LCM(363,4017) = 486057
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5148/363, 1020/4017
1. What is the HCF of 5148,1020?
The HCF of 5148,1020 is 12
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 5148/363, 1020/4017?
Answer: GCF of Numerators as per given numbers 5148/363, 1020/4017 is
GCF of Numerators i.e. for 5148,1020 is 12
LCM of denominators i.e. for 363,4017 is 486057.
Thus, GCF of Fractions is 12/486057.Finally, GCF of Fractions for 5148/363, 1020/4017 is 12/486057.