GCF of 2389/583, 9477/1558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2389/583, 9477/1558 i.e 1/908314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2389/583, 9477/1558.
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 2389/583,9477/1558?
Given fractions are 2389/583,9477/1558
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 2389/583,9477/1558, numerators are 2389,9477
Denominators are 583,1558
The GCF of 2389,9477 is 1 .
LCM of 583,1558 is 908314.
The greatest common factor of 2389/583,9477/1558 = [GCF of 2389,9477]/[LCM of 583,1558]= 1/908314
Therefore, the GCF of 2389/583,9477/1558 is 1/908314.
To find the highest common factor of 2389,9477, we have to find the factors of both numbers and list the highest common factor.
The factors of 2389 are 1, 2389
The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477
The HCF of 2389,9477 is 1.
Lets's calculate GCF of 2389,9477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2389,9477 By Matching Biggest Common Factor Method
Now, list down the factors of 2389
:1,2389
Now, list down the factors of 9477
:1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Greatest Common Factor
We found the factors 2389,9477 . The biggest common factor number is the GCF number.
So the greatest common factor 2389,9477 is 1.
Lets's calculate LCM of 583,1558
Given numbers has no common factors except 1. So, there LCM is their product i.e 908314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/908314
Therefore, the GCF of Fractions 2389/583,9477/1558 is 1/908314
Least Common Multiple of 583,1558 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 583,1558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,1558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,1558) x common factors =1 x 1 = 1
LCM(583,1558) = ( 583 × 1558 ) / 1
LCM(583,1558) = 908314 / 1
LCM(583,1558) = 908314
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2389/583, 9477/1558
1. What is the HCF of 2389,9477?
The HCF of 2389,9477 is 1
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 2389/583, 9477/1558?
Answer: GCF of Numerators as per given numbers 2389/583, 9477/1558 is
GCF of Numerators i.e. for 2389,9477 is 1
LCM of denominators i.e. for 583,1558 is 908314.
Thus, GCF of Fractions is 1/908314.Finally, GCF of Fractions for 2389/583, 9477/1558 is 1/908314.