GCF of 2322/410, 2960/8338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2322/410, 2960/8338 i.e 2/1709290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2322/410, 2960/8338.
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 2322/410,2960/8338?
Given fractions are 2322/410,2960/8338
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 2322/410,2960/8338, numerators are 2322,2960
Denominators are 410,8338
The GCF of 2322,2960 is 2 .
LCM of 410,8338 is 1709290.
The greatest common factor of 2322/410,2960/8338 = [GCF of 2322,2960]/[LCM of 410,8338]= 2/1709290
Therefore, the GCF of 2322/410,2960/8338 is 2/1709290.
To find the highest common factor of 2322,2960, we have to find the factors of both numbers and list the highest common factor.
The factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322
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 2322,2960 is 2.
Lets's calculate GCF of 2322,2960
| 2 | 2322, 2960 |
| 1161, 1480 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2322,2960 By Matching Biggest Common Factor Method
Now, list down the factors of 2322
:1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322
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 2322,2960 . The biggest common factor number is the GCF number.
So the greatest common factor 2322,2960 is 2.
Lets's calculate LCM of 410,8338
| 2 | 410, 8338 |
| 205, 4169 |
∴ So the LCM of the given numbers is 2 x 205 x 4169 = 1709290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1709290
Therefore, the GCF of Fractions 2322/410,2960/8338 is 2/1709290
Least Common Multiple of 410,8338 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 410,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,8338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,8338) x common factors =2 x 1 = 2
LCM(410,8338) = ( 410 × 8338 ) / 2
LCM(410,8338) = 3418580 / 2
LCM(410,8338) = 1709290
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2322/410, 2960/8338
1. What is the HCF of 2322,2960?
The HCF of 2322,2960 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 2322/410, 2960/8338?
Answer: GCF of Numerators as per given numbers 2322/410, 2960/8338 is
GCF of Numerators i.e. for 2322,2960 is 2
LCM of denominators i.e. for 410,8338 is 1709290.
Thus, GCF of Fractions is 2/1709290.Finally, GCF of Fractions for 2322/410, 2960/8338 is 2/1709290.