GCF of 1389/115, 3019/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1389/115, 3019/129 i.e 1/14835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1389/115, 3019/129.
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 1389/115,3019/129?
Given fractions are 1389/115,3019/129
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 1389/115,3019/129, numerators are 1389,3019
Denominators are 115,129
The GCF of 1389,3019 is 1 .
LCM of 115,129 is 14835.
The greatest common factor of 1389/115,3019/129 = [GCF of 1389,3019]/[LCM of 115,129]= 1/14835
Therefore, the GCF of 1389/115,3019/129 is 1/14835.
To find the highest common factor of 1389,3019, we have to find the factors of both numbers and list the highest common factor.
The factors of 1389 are 1, 3, 463, 1389
The factors of 3019 are 1, 3019
The HCF of 1389,3019 is 1.
Lets's calculate GCF of 1389,3019
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1389,3019 By Matching Biggest Common Factor Method
Now, list down the factors of 1389
:1,3,463,1389
Now, list down the factors of 3019
:1,3019
Greatest Common Factor
We found the factors 1389,3019 . The biggest common factor number is the GCF number.
So the greatest common factor 1389,3019 is 1.
Lets's calculate LCM of 115,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 14835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14835
Therefore, the GCF of Fractions 1389/115,3019/129 is 1/14835
Least Common Multiple of 115,129 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 115,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,129) x common factors =1 x 1 = 1
LCM(115,129) = ( 115 × 129 ) / 1
LCM(115,129) = 14835 / 1
LCM(115,129) = 14835
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1389/115, 3019/129
1. What is the HCF of 1389,3019?
The HCF of 1389,3019 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 1389/115, 3019/129?
Answer: GCF of Numerators as per given numbers 1389/115, 3019/129 is
GCF of Numerators i.e. for 1389,3019 is 1
LCM of denominators i.e. for 115,129 is 14835.
Thus, GCF of Fractions is 1/14835.Finally, GCF of Fractions for 1389/115, 3019/129 is 1/14835.