GCF of 1718/342, 3399/4019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1718/342, 3399/4019 i.e 1/1374498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1718/342, 3399/4019.
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 1718/342,3399/4019?
Given fractions are 1718/342,3399/4019
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 1718/342,3399/4019, numerators are 1718,3399
Denominators are 342,4019
The GCF of 1718,3399 is 1 .
LCM of 342,4019 is 1374498.
The greatest common factor of 1718/342,3399/4019 = [GCF of 1718,3399]/[LCM of 342,4019]= 1/1374498
Therefore, the GCF of 1718/342,3399/4019 is 1/1374498.
To find the highest common factor of 1718,3399, we have to find the factors of both numbers and list the highest common factor.
The factors of 1718 are 1, 2, 859, 1718
The factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399
The HCF of 1718,3399 is 1.
Lets's calculate GCF of 1718,3399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1718,3399 By Matching Biggest Common Factor Method
Now, list down the factors of 1718
:1,2,859,1718
Now, list down the factors of 3399
:1,3,11,33,103,309,1133,3399
Greatest Common Factor
We found the factors 1718,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 1718,3399 is 1.
Lets's calculate LCM of 342,4019
Given numbers has no common factors except 1. So, there LCM is their product i.e 1374498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1374498
Therefore, the GCF of Fractions 1718/342,3399/4019 is 1/1374498
Least Common Multiple of 342,4019 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 342,4019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,4019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,4019) x common factors =1 x 1 = 1
LCM(342,4019) = ( 342 × 4019 ) / 1
LCM(342,4019) = 1374498 / 1
LCM(342,4019) = 1374498
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FAQs on GCF of Fractions of 1718/342, 3399/4019
1. What is the HCF of 1718,3399?
The HCF of 1718,3399 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 1718/342, 3399/4019?
Answer: GCF of Numerators as per given numbers 1718/342, 3399/4019 is
GCF of Numerators i.e. for 1718,3399 is 1
LCM of denominators i.e. for 342,4019 is 1374498.
Thus, GCF of Fractions is 1/1374498.Finally, GCF of Fractions for 1718/342, 3399/4019 is 1/1374498.