GCF of 2379/589, 9745/9318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2379/589, 9745/9318 i.e 1/5488302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2379/589, 9745/9318.
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 2379/589,9745/9318?
Given fractions are 2379/589,9745/9318
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 2379/589,9745/9318, numerators are 2379,9745
Denominators are 589,9318
The GCF of 2379,9745 is 1 .
LCM of 589,9318 is 5488302.
The greatest common factor of 2379/589,9745/9318 = [GCF of 2379,9745]/[LCM of 589,9318]= 1/5488302
Therefore, the GCF of 2379/589,9745/9318 is 1/5488302.
To find the highest common factor of 2379,9745, we have to find the factors of both numbers and list the highest common factor.
The factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379
The factors of 9745 are 1, 5, 1949, 9745
The HCF of 2379,9745 is 1.
Lets's calculate GCF of 2379,9745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2379,9745 By Matching Biggest Common Factor Method
Now, list down the factors of 2379
:1,3,13,39,61,183,793,2379
Now, list down the factors of 9745
:1,5,1949,9745
Greatest Common Factor
We found the factors 2379,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 2379,9745 is 1.
Lets's calculate LCM of 589,9318
Given numbers has no common factors except 1. So, there LCM is their product i.e 5488302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5488302
Therefore, the GCF of Fractions 2379/589,9745/9318 is 1/5488302
Least Common Multiple of 589,9318 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 589,9318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,9318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,9318) x common factors =1 x 1 = 1
LCM(589,9318) = ( 589 × 9318 ) / 1
LCM(589,9318) = 5488302 / 1
LCM(589,9318) = 5488302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2379/589, 9745/9318
1. What is the HCF of 2379,9745?
The HCF of 2379,9745 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 2379/589, 9745/9318?
Answer: GCF of Numerators as per given numbers 2379/589, 9745/9318 is
GCF of Numerators i.e. for 2379,9745 is 1
LCM of denominators i.e. for 589,9318 is 5488302.
Thus, GCF of Fractions is 1/5488302.Finally, GCF of Fractions for 2379/589, 9745/9318 is 1/5488302.