GCF of 1718/324, 4123/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1718/324, 4123/437 i.e 1/141588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1718/324, 4123/437.
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 1718/324,4123/437?
Given fractions are 1718/324,4123/437
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 1718/324,4123/437, numerators are 1718,4123
Denominators are 324,437
The GCF of 1718,4123 is 1 .
LCM of 324,437 is 141588.
The greatest common factor of 1718/324,4123/437 = [GCF of 1718,4123]/[LCM of 324,437]= 1/141588
Therefore, the GCF of 1718/324,4123/437 is 1/141588.
To find the highest common factor of 1718,4123, 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 4123 are 1, 7, 19, 31, 133, 217, 589, 4123
The HCF of 1718,4123 is 1.
Lets's calculate GCF of 1718,4123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1718,4123 By Matching Biggest Common Factor Method
Now, list down the factors of 1718
:1,2,859,1718
Now, list down the factors of 4123
:1,7,19,31,133,217,589,4123
Greatest Common Factor
We found the factors 1718,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 1718,4123 is 1.
Lets's calculate LCM of 324,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 141588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141588
Therefore, the GCF of Fractions 1718/324,4123/437 is 1/141588
Least Common Multiple of 324,437 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 324,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,437) x common factors =1 x 1 = 1
LCM(324,437) = ( 324 × 437 ) / 1
LCM(324,437) = 141588 / 1
LCM(324,437) = 141588
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FAQs on GCF of Fractions of 1718/324, 4123/437
1. What is the HCF of 1718,4123?
The HCF of 1718,4123 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 1718/324, 4123/437?
Answer: GCF of Numerators as per given numbers 1718/324, 4123/437 is
GCF of Numerators i.e. for 1718,4123 is 1
LCM of denominators i.e. for 324,437 is 141588.
Thus, GCF of Fractions is 1/141588.Finally, GCF of Fractions for 1718/324, 4123/437 is 1/141588.