GCF of 2856/204, 4120/4314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2856/204, 4120/4314 i.e 8/146676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2856/204, 4120/4314.
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 2856/204,4120/4314?
Given fractions are 2856/204,4120/4314
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 2856/204,4120/4314, numerators are 2856,4120
Denominators are 204,4314
The GCF of 2856,4120 is 8 .
LCM of 204,4314 is 146676.
The greatest common factor of 2856/204,4120/4314 = [GCF of 2856,4120]/[LCM of 204,4314]= 8/146676
Therefore, the GCF of 2856/204,4120/4314 is 8/146676.
To find the highest common factor of 2856,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 2856,4120 is 8.
Lets's calculate GCF of 2856,4120
| 2 | 2856, 4120 |
| 2 | 1428, 2060 |
| 2 | 714, 1030 |
| 357, 515 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2856,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 2856
:1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 2856,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 2856,4120 is 8.
Lets's calculate LCM of 204,4314
| 2 | 204, 4314 |
| 3 | 102, 2157 |
| 34, 719 |
∴ So the LCM of the given numbers is 2 x 3 x 34 x 719 = 146676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/146676
Therefore, the GCF of Fractions 2856/204,4120/4314 is 8/146676
Least Common Multiple of 204,4314 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 204,4314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,4314) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(204,4314) x common factors =6 x 1 = 6
LCM(204,4314) = ( 204 × 4314 ) / 6
LCM(204,4314) = 880056 / 6
LCM(204,4314) = 146676
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2856/204, 4120/4314
1. What is the HCF of 2856,4120?
The HCF of 2856,4120 is 8
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 2856/204, 4120/4314?
Answer: GCF of Numerators as per given numbers 2856/204, 4120/4314 is
GCF of Numerators i.e. for 2856,4120 is 8
LCM of denominators i.e. for 204,4314 is 146676.
Thus, GCF of Fractions is 8/146676.Finally, GCF of Fractions for 2856/204, 4120/4314 is 8/146676.