GCF of 2294/321, 2840/4382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2294/321, 2840/4382 i.e 2/1406622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2294/321, 2840/4382.
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 2294/321,2840/4382?
Given fractions are 2294/321,2840/4382
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 2294/321,2840/4382, numerators are 2294,2840
Denominators are 321,4382
The GCF of 2294,2840 is 2 .
LCM of 321,4382 is 1406622.
The greatest common factor of 2294/321,2840/4382 = [GCF of 2294,2840]/[LCM of 321,4382]= 2/1406622
Therefore, the GCF of 2294/321,2840/4382 is 2/1406622.
To find the highest common factor of 2294,2840, we have to find the factors of both numbers and list the highest common factor.
The factors of 2294 are 1, 2, 31, 37, 62, 74, 1147, 2294
The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840
The HCF of 2294,2840 is 2.
Lets's calculate GCF of 2294,2840
| 2 | 2294, 2840 |
| 1147, 1420 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2294,2840 By Matching Biggest Common Factor Method
Now, list down the factors of 2294
:1,2,31,37,62,74,1147,2294
Now, list down the factors of 2840
:1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Greatest Common Factor
We found the factors 2294,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 2294,2840 is 2.
Lets's calculate LCM of 321,4382
Given numbers has no common factors except 1. So, there LCM is their product i.e 1406622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1406622
Therefore, the GCF of Fractions 2294/321,2840/4382 is 2/1406622
Least Common Multiple of 321,4382 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 321,4382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,4382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,4382) x common factors =1 x 1 = 1
LCM(321,4382) = ( 321 × 4382 ) / 1
LCM(321,4382) = 1406622 / 1
LCM(321,4382) = 1406622
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2294/321, 2840/4382
1. What is the HCF of 2294,2840?
The HCF of 2294,2840 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 2294/321, 2840/4382?
Answer: GCF of Numerators as per given numbers 2294/321, 2840/4382 is
GCF of Numerators i.e. for 2294,2840 is 2
LCM of denominators i.e. for 321,4382 is 1406622.
Thus, GCF of Fractions is 2/1406622.Finally, GCF of Fractions for 2294/321, 2840/4382 is 2/1406622.