GCF of 4749/389, 2565/4275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4749/389, 2565/4275 i.e 3/1662975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4749/389, 2565/4275.
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 4749/389,2565/4275?
Given fractions are 4749/389,2565/4275
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 4749/389,2565/4275, numerators are 4749,2565
Denominators are 389,4275
The GCF of 4749,2565 is 3 .
LCM of 389,4275 is 1662975.
The greatest common factor of 4749/389,2565/4275 = [GCF of 4749,2565]/[LCM of 389,4275]= 3/1662975
Therefore, the GCF of 4749/389,2565/4275 is 3/1662975.
To find the highest common factor of 4749,2565, we have to find the factors of both numbers and list the highest common factor.
The factors of 4749 are 1, 3, 1583, 4749
The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
The HCF of 4749,2565 is 3.
Lets's calculate GCF of 4749,2565
| 3 | 4749, 2565 |
| 1583, 855 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4749,2565 By Matching Biggest Common Factor Method
Now, list down the factors of 4749
:1,3,1583,4749
Now, list down the factors of 2565
:1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565
Greatest Common Factor
We found the factors 4749,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 4749,2565 is 3.
Lets's calculate LCM of 389,4275
Given numbers has no common factors except 1. So, there LCM is their product i.e 1662975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1662975
Therefore, the GCF of Fractions 4749/389,2565/4275 is 3/1662975
Least Common Multiple of 389,4275 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 389,4275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,4275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,4275) x common factors =1 x 1 = 1
LCM(389,4275) = ( 389 × 4275 ) / 1
LCM(389,4275) = 1662975 / 1
LCM(389,4275) = 1662975
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FAQs on GCF of Fractions of 4749/389, 2565/4275
1. What is the HCF of 4749,2565?
The HCF of 4749,2565 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 4749/389, 2565/4275?
Answer: GCF of Numerators as per given numbers 4749/389, 2565/4275 is
GCF of Numerators i.e. for 4749,2565 is 3
LCM of denominators i.e. for 389,4275 is 1662975.
Thus, GCF of Fractions is 3/1662975.Finally, GCF of Fractions for 4749/389, 2565/4275 is 3/1662975.