GCF of 1734/578, 2401/2355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1734/578, 2401/2355 i.e 1/1361190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1734/578, 2401/2355.
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 1734/578,2401/2355?
Given fractions are 1734/578,2401/2355
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 1734/578,2401/2355, numerators are 1734,2401
Denominators are 578,2355
The GCF of 1734,2401 is 1 .
LCM of 578,2355 is 1361190.
The greatest common factor of 1734/578,2401/2355 = [GCF of 1734,2401]/[LCM of 578,2355]= 1/1361190
Therefore, the GCF of 1734/578,2401/2355 is 1/1361190.
To find the highest common factor of 1734,2401, we have to find the factors of both numbers and list the highest common factor.
The factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734
The factors of 2401 are 1, 7, 49, 343, 2401
The HCF of 1734,2401 is 1.
Lets's calculate GCF of 1734,2401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1734,2401 By Matching Biggest Common Factor Method
Now, list down the factors of 1734
:1,2,3,6,17,34,51,102,289,578,867,1734
Now, list down the factors of 2401
:1,7,49,343,2401
Greatest Common Factor
We found the factors 1734,2401 . The biggest common factor number is the GCF number.
So the greatest common factor 1734,2401 is 1.
Lets's calculate LCM of 578,2355
Given numbers has no common factors except 1. So, there LCM is their product i.e 1361190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361190
Therefore, the GCF of Fractions 1734/578,2401/2355 is 1/1361190
Least Common Multiple of 578,2355 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 578,2355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,2355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,2355) x common factors =1 x 1 = 1
LCM(578,2355) = ( 578 × 2355 ) / 1
LCM(578,2355) = 1361190 / 1
LCM(578,2355) = 1361190
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FAQs on GCF of Fractions of 1734/578, 2401/2355
1. What is the HCF of 1734,2401?
The HCF of 1734,2401 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 1734/578, 2401/2355?
Answer: GCF of Numerators as per given numbers 1734/578, 2401/2355 is
GCF of Numerators i.e. for 1734,2401 is 1
LCM of denominators i.e. for 578,2355 is 1361190.
Thus, GCF of Fractions is 1/1361190.Finally, GCF of Fractions for 1734/578, 2401/2355 is 1/1361190.