GCF of 1318/745, 2017/6979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1318/745, 2017/6979 i.e 1/5199355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1318/745, 2017/6979.
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 1318/745,2017/6979?
Given fractions are 1318/745,2017/6979
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 1318/745,2017/6979, numerators are 1318,2017
Denominators are 745,6979
The GCF of 1318,2017 is 1 .
LCM of 745,6979 is 5199355.
The greatest common factor of 1318/745,2017/6979 = [GCF of 1318,2017]/[LCM of 745,6979]= 1/5199355
Therefore, the GCF of 1318/745,2017/6979 is 1/5199355.
To find the highest common factor of 1318,2017, we have to find the factors of both numbers and list the highest common factor.
The factors of 1318 are 1, 2, 659, 1318
The factors of 2017 are 1, 2017
The HCF of 1318,2017 is 1.
Lets's calculate GCF of 1318,2017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1318,2017 By Matching Biggest Common Factor Method
Now, list down the factors of 1318
:1,2,659,1318
Now, list down the factors of 2017
:1,2017
Greatest Common Factor
We found the factors 1318,2017 . The biggest common factor number is the GCF number.
So the greatest common factor 1318,2017 is 1.
Lets's calculate LCM of 745,6979
Given numbers has no common factors except 1. So, there LCM is their product i.e 5199355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5199355
Therefore, the GCF of Fractions 1318/745,2017/6979 is 1/5199355
Least Common Multiple of 745,6979 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 745,6979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,6979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,6979) x common factors =1 x 1 = 1
LCM(745,6979) = ( 745 × 6979 ) / 1
LCM(745,6979) = 5199355 / 1
LCM(745,6979) = 5199355
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1318/745, 2017/6979
1. What is the HCF of 1318,2017?
The HCF of 1318,2017 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 1318/745, 2017/6979?
Answer: GCF of Numerators as per given numbers 1318/745, 2017/6979 is
GCF of Numerators i.e. for 1318,2017 is 1
LCM of denominators i.e. for 745,6979 is 5199355.
Thus, GCF of Fractions is 1/5199355.Finally, GCF of Fractions for 1318/745, 2017/6979 is 1/5199355.