GCF of 2325/283, 2922/5121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2325/283, 2922/5121 i.e 3/1449243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2325/283, 2922/5121.
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 2325/283,2922/5121?
Given fractions are 2325/283,2922/5121
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 2325/283,2922/5121, numerators are 2325,2922
Denominators are 283,5121
The GCF of 2325,2922 is 3 .
LCM of 283,5121 is 1449243.
The greatest common factor of 2325/283,2922/5121 = [GCF of 2325,2922]/[LCM of 283,5121]= 3/1449243
Therefore, the GCF of 2325/283,2922/5121 is 3/1449243.
To find the highest common factor of 2325,2922, we have to find the factors of both numbers and list the highest common factor.
The factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325
The factors of 2922 are 1, 2, 3, 6, 487, 974, 1461, 2922
The HCF of 2325,2922 is 3.
Lets's calculate GCF of 2325,2922
| 3 | 2325, 2922 |
| 775, 974 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2325,2922 By Matching Biggest Common Factor Method
Now, list down the factors of 2325
:1,3,5,15,25,31,75,93,155,465,775,2325
Now, list down the factors of 2922
:1,2,3,6,487,974,1461,2922
Greatest Common Factor
We found the factors 2325,2922 . The biggest common factor number is the GCF number.
So the greatest common factor 2325,2922 is 3.
Lets's calculate LCM of 283,5121
Given numbers has no common factors except 1. So, there LCM is their product i.e 1449243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1449243
Therefore, the GCF of Fractions 2325/283,2922/5121 is 3/1449243
Least Common Multiple of 283,5121 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 283,5121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,5121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,5121) x common factors =1 x 1 = 1
LCM(283,5121) = ( 283 × 5121 ) / 1
LCM(283,5121) = 1449243 / 1
LCM(283,5121) = 1449243
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FAQs on GCF of Fractions of 2325/283, 2922/5121
1. What is the HCF of 2325,2922?
The HCF of 2325,2922 is 3
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 2325/283, 2922/5121?
Answer: GCF of Numerators as per given numbers 2325/283, 2922/5121 is
GCF of Numerators i.e. for 2325,2922 is 3
LCM of denominators i.e. for 283,5121 is 1449243.
Thus, GCF of Fractions is 3/1449243.Finally, GCF of Fractions for 2325/283, 2922/5121 is 3/1449243.