GCF of 2054/816, 2960/2108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2054/816, 2960/2108 i.e 2/25296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2054/816, 2960/2108.
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 2054/816,2960/2108?
Given fractions are 2054/816,2960/2108
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 2054/816,2960/2108, numerators are 2054,2960
Denominators are 816,2108
The GCF of 2054,2960 is 2 .
LCM of 816,2108 is 25296.
The greatest common factor of 2054/816,2960/2108 = [GCF of 2054,2960]/[LCM of 816,2108]= 2/25296
Therefore, the GCF of 2054/816,2960/2108 is 2/25296.
To find the highest common factor of 2054,2960, we have to find the factors of both numbers and list the highest common factor.
The factors of 2054 are 1, 2, 13, 26, 79, 158, 1027, 2054
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The HCF of 2054,2960 is 2.
Lets's calculate GCF of 2054,2960
| 2 | 2054, 2960 |
| 1027, 1480 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2054,2960 By Matching Biggest Common Factor Method
Now, list down the factors of 2054
:1,2,13,26,79,158,1027,2054
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Greatest Common Factor
We found the factors 2054,2960 . The biggest common factor number is the GCF number.
So the greatest common factor 2054,2960 is 2.
Lets's calculate LCM of 816,2108
| 2 | 816, 2108 |
| 2 | 408, 1054 |
| 17 | 204, 527 |
| 12, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 12 x 31 = 25296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25296
Therefore, the GCF of Fractions 2054/816,2960/2108 is 2/25296
Least Common Multiple of 816,2108 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 816,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,2108) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(816,2108) x common factors =68 x 1 = 68
LCM(816,2108) = ( 816 × 2108 ) / 68
LCM(816,2108) = 1720128 / 68
LCM(816,2108) = 25296
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FAQs on GCF of Fractions of 2054/816, 2960/2108
1. What is the HCF of 2054,2960?
The HCF of 2054,2960 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 2054/816, 2960/2108?
Answer: GCF of Numerators as per given numbers 2054/816, 2960/2108 is
GCF of Numerators i.e. for 2054,2960 is 2
LCM of denominators i.e. for 816,2108 is 25296.
Thus, GCF of Fractions is 2/25296.Finally, GCF of Fractions for 2054/816, 2960/2108 is 2/25296.