GCF of 2264/733, 5766/4269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2264/733, 5766/4269 i.e 2/3129177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2264/733, 5766/4269.
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 2264/733,5766/4269?
Given fractions are 2264/733,5766/4269
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 2264/733,5766/4269, numerators are 2264,5766
Denominators are 733,4269
The GCF of 2264,5766 is 2 .
LCM of 733,4269 is 3129177.
The greatest common factor of 2264/733,5766/4269 = [GCF of 2264,5766]/[LCM of 733,4269]= 2/3129177
Therefore, the GCF of 2264/733,5766/4269 is 2/3129177.
To find the highest common factor of 2264,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 2264,5766 is 2.
Lets's calculate GCF of 2264,5766
| 2 | 2264, 5766 |
| 1132, 2883 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2264,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 2264,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 2264,5766 is 2.
Lets's calculate LCM of 733,4269
Given numbers has no common factors except 1. So, there LCM is their product i.e 3129177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3129177
Therefore, the GCF of Fractions 2264/733,5766/4269 is 2/3129177
Least Common Multiple of 733,4269 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 733,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,4269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,4269) x common factors =1 x 1 = 1
LCM(733,4269) = ( 733 × 4269 ) / 1
LCM(733,4269) = 3129177 / 1
LCM(733,4269) = 3129177
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FAQs on GCF of Fractions of 2264/733, 5766/4269
1. What is the HCF of 2264,5766?
The HCF of 2264,5766 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 2264/733, 5766/4269?
Answer: GCF of Numerators as per given numbers 2264/733, 5766/4269 is
GCF of Numerators i.e. for 2264,5766 is 2
LCM of denominators i.e. for 733,4269 is 3129177.
Thus, GCF of Fractions is 2/3129177.Finally, GCF of Fractions for 2264/733, 5766/4269 is 2/3129177.