GCF of 5865/923, 4887/393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/923, 4887/393 i.e 3/362739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/923, 4887/393.
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 5865/923,4887/393?
Given fractions are 5865/923,4887/393
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 5865/923,4887/393, numerators are 5865,4887
Denominators are 923,393
The GCF of 5865,4887 is 3 .
LCM of 923,393 is 362739.
The greatest common factor of 5865/923,4887/393 = [GCF of 5865,4887]/[LCM of 923,393]= 3/362739
Therefore, the GCF of 5865/923,4887/393 is 3/362739.
To find the highest common factor of 5865,4887, we have to find the factors of both numbers and list the highest common factor.
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887
The HCF of 5865,4887 is 3.
Lets's calculate GCF of 5865,4887
| 3 | 5865, 4887 |
| 1955, 1629 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5865,4887 By Matching Biggest Common Factor Method
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Now, list down the factors of 4887
:1,3,9,27,181,543,1629,4887
Greatest Common Factor
We found the factors 5865,4887 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,4887 is 3.
Lets's calculate LCM of 923,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 362739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/362739
Therefore, the GCF of Fractions 5865/923,4887/393 is 3/362739
Least Common Multiple of 923,393 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 923,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,393) x common factors =1 x 1 = 1
LCM(923,393) = ( 923 × 393 ) / 1
LCM(923,393) = 362739 / 1
LCM(923,393) = 362739
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FAQs on GCF of Fractions of 5865/923, 4887/393
1. What is the HCF of 5865,4887?
The HCF of 5865,4887 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 5865/923, 4887/393?
Answer: GCF of Numerators as per given numbers 5865/923, 4887/393 is
GCF of Numerators i.e. for 5865,4887 is 3
LCM of denominators i.e. for 923,393 is 362739.
Thus, GCF of Fractions is 3/362739.Finally, GCF of Fractions for 5865/923, 4887/393 is 3/362739.