GCF of 1737/726, 8931/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1737/726, 8931/814 i.e 3/26862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1737/726, 8931/814.
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 1737/726,8931/814?
Given fractions are 1737/726,8931/814
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 1737/726,8931/814, numerators are 1737,8931
Denominators are 726,814
The GCF of 1737,8931 is 3 .
LCM of 726,814 is 26862.
The greatest common factor of 1737/726,8931/814 = [GCF of 1737,8931]/[LCM of 726,814]= 3/26862
Therefore, the GCF of 1737/726,8931/814 is 3/26862.
To find the highest common factor of 1737,8931, we have to find the factors of both numbers and list the highest common factor.
The factors of 1737 are 1, 3, 9, 193, 579, 1737
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The HCF of 1737,8931 is 3.
Lets's calculate GCF of 1737,8931
| 3 | 1737, 8931 |
| 579, 2977 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1737,8931 By Matching Biggest Common Factor Method
Now, list down the factors of 1737
:1,3,9,193,579,1737
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Greatest Common Factor
We found the factors 1737,8931 . The biggest common factor number is the GCF number.
So the greatest common factor 1737,8931 is 3.
Lets's calculate LCM of 726,814
| 2 | 726, 814 |
| 11 | 363, 407 |
| 33, 37 |
∴ So the LCM of the given numbers is 2 x 11 x 33 x 37 = 26862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26862
Therefore, the GCF of Fractions 1737/726,8931/814 is 3/26862
Least Common Multiple of 726,814 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 726,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,814) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(726,814) x common factors =22 x 1 = 22
LCM(726,814) = ( 726 × 814 ) / 22
LCM(726,814) = 590964 / 22
LCM(726,814) = 26862
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FAQs on GCF of Fractions of 1737/726, 8931/814
1. What is the HCF of 1737,8931?
The HCF of 1737,8931 is 3
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 1737/726, 8931/814?
Answer: GCF of Numerators as per given numbers 1737/726, 8931/814 is
GCF of Numerators i.e. for 1737,8931 is 3
LCM of denominators i.e. for 726,814 is 26862.
Thus, GCF of Fractions is 3/26862.Finally, GCF of Fractions for 1737/726, 8931/814 is 3/26862.