GCF of 3691/709, 3726/3558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3691/709, 3726/3558 i.e 1/2522622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3691/709, 3726/3558.
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 3691/709,3726/3558?
Given fractions are 3691/709,3726/3558
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 3691/709,3726/3558, numerators are 3691,3726
Denominators are 709,3558
The GCF of 3691,3726 is 1 .
LCM of 709,3558 is 2522622.
The greatest common factor of 3691/709,3726/3558 = [GCF of 3691,3726]/[LCM of 709,3558]= 1/2522622
Therefore, the GCF of 3691/709,3726/3558 is 1/2522622.
To find the highest common factor of 3691,3726, we have to find the factors of both numbers and list the highest common factor.
The factors of 3691 are 1, 3691
The factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726
The HCF of 3691,3726 is 1.
Lets's calculate GCF of 3691,3726
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3691,3726 By Matching Biggest Common Factor Method
Now, list down the factors of 3691
:1,3691
Now, list down the factors of 3726
:1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Greatest Common Factor
We found the factors 3691,3726 . The biggest common factor number is the GCF number.
So the greatest common factor 3691,3726 is 1.
Lets's calculate LCM of 709,3558
Given numbers has no common factors except 1. So, there LCM is their product i.e 2522622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2522622
Therefore, the GCF of Fractions 3691/709,3726/3558 is 1/2522622
Least Common Multiple of 709,3558 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 709,3558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,3558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,3558) x common factors =1 x 1 = 1
LCM(709,3558) = ( 709 × 3558 ) / 1
LCM(709,3558) = 2522622 / 1
LCM(709,3558) = 2522622
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FAQs on GCF of Fractions of 3691/709, 3726/3558
1. What is the HCF of 3691,3726?
The HCF of 3691,3726 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 3691/709, 3726/3558?
Answer: GCF of Numerators as per given numbers 3691/709, 3726/3558 is
GCF of Numerators i.e. for 3691,3726 is 1
LCM of denominators i.e. for 709,3558 is 2522622.
Thus, GCF of Fractions is 1/2522622.Finally, GCF of Fractions for 3691/709, 3726/3558 is 1/2522622.