GCF of 2283/920, 5697/9226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2283/920, 5697/9226 i.e 3/4243960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2283/920, 5697/9226.
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 2283/920,5697/9226?
Given fractions are 2283/920,5697/9226
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 2283/920,5697/9226, numerators are 2283,5697
Denominators are 920,9226
The GCF of 2283,5697 is 3 .
LCM of 920,9226 is 4243960.
The greatest common factor of 2283/920,5697/9226 = [GCF of 2283,5697]/[LCM of 920,9226]= 3/4243960
Therefore, the GCF of 2283/920,5697/9226 is 3/4243960.
To find the highest common factor of 2283,5697, we have to find the factors of both numbers and list the highest common factor.
The factors of 2283 are 1, 3, 761, 2283
The factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697
The HCF of 2283,5697 is 3.
Lets's calculate GCF of 2283,5697
| 3 | 2283, 5697 |
| 761, 1899 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2283,5697 By Matching Biggest Common Factor Method
Now, list down the factors of 2283
:1,3,761,2283
Now, list down the factors of 5697
:1,3,9,27,211,633,1899,5697
Greatest Common Factor
We found the factors 2283,5697 . The biggest common factor number is the GCF number.
So the greatest common factor 2283,5697 is 3.
Lets's calculate LCM of 920,9226
| 2 | 920, 9226 |
| 460, 4613 |
∴ So the LCM of the given numbers is 2 x 460 x 4613 = 4243960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4243960
Therefore, the GCF of Fractions 2283/920,5697/9226 is 3/4243960
Least Common Multiple of 920,9226 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 920,9226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,9226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(920,9226) x common factors =2 x 1 = 2
LCM(920,9226) = ( 920 × 9226 ) / 2
LCM(920,9226) = 8487920 / 2
LCM(920,9226) = 4243960
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FAQs on GCF of Fractions of 2283/920, 5697/9226
1. What is the HCF of 2283,5697?
The HCF of 2283,5697 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 2283/920, 5697/9226?
Answer: GCF of Numerators as per given numbers 2283/920, 5697/9226 is
GCF of Numerators i.e. for 2283,5697 is 3
LCM of denominators i.e. for 920,9226 is 4243960.
Thus, GCF of Fractions is 3/4243960.Finally, GCF of Fractions for 2283/920, 5697/9226 is 3/4243960.