GCF of 337/567, 729/162, 523/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 337/567, 729/162, 523/708 i.e 1/133812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/567, 729/162, 523/708.
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 337/567,729/162,523/708?
Given fractions are 337/567,729/162,523/708
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 337/567,729/162,523/708, numerators are 337,729,523
Denominators are 567,162,708
The GCF of 337,729,523 is 1 .
LCM of 567,162,708 is 133812.
The greatest common factor of 337/567,729/162,523/708 = [GCF of 337,729,523]/[LCM of 567,162,708]= 1/133812
Therefore, the GCF of 337/567,729/162,523/708 is 1/133812.
To find the highest common factor of 337,729,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 337 are 1, 337
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 523 are 1, 523
The HCF of 337,729,523 is 1.
Lets's calculate GCF of 337,729,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 337,729,523 By Matching Biggest Common Factor Method
Now, list down the factors of 337
:1,337
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 337,729,523 . The biggest common factor number is the GCF number.
So the greatest common factor 337,729,523 is 1.
Lets's calculate LCM of 567,162,708
| 2 | 567, 162, 708 |
| 3 | 567, 81, 354 |
| 3 | 189, 27, 118 |
| 3 | 63, 9, 118 |
| 3 | 21, 3, 118 |
| 7, 1, 118 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 7 x 1 x 118 = 133812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133812
Therefore, the GCF of Fractions 337/567,729/162,523/708 is 1/133812
Least Common Multiple of 567,162,708 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 567,162,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,162,708) = 3
common factors(in case of two or more numbers have common factors) = 162
GCF(567,162,708) x common factors =3 x 162 = 486
LCM(567,162,708) = ( 567 × 162 × 708 ) / 486
LCM(567,162,708) = 65032632 / 486
LCM(567,162,708) = 133812
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FAQs on GCF of Fractions of 337/567, 729/162, 523/708
1. What is the HCF of 337,729,523?
The HCF of 337,729,523 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 337/567, 729/162, 523/708?
Answer: GCF of Numerators as per given numbers 337/567, 729/162, 523/708 is
GCF of Numerators i.e. for 337,729,523 is 1
LCM of denominators i.e. for 567,162,708 is 133812.
Thus, GCF of Fractions is 1/133812.Finally, GCF of Fractions for 337/567, 729/162, 523/708 is 1/133812.