GCF of 528/45, 513/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/45, 513/723 i.e 3/10845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/45, 513/723.
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 528/45,513/723?
Given fractions are 528/45,513/723
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 528/45,513/723, numerators are 528,513
Denominators are 45,723
The GCF of 528,513 is 3 .
LCM of 45,723 is 10845.
The greatest common factor of 528/45,513/723 = [GCF of 528,513]/[LCM of 45,723]= 3/10845
Therefore, the GCF of 528/45,513/723 is 3/10845.
To find the highest common factor of 528,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 528,513 is 3.
Lets's calculate GCF of 528,513
| 3 | 528, 513 |
| 176, 171 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 528,513 By Matching Biggest Common Factor Method
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 528,513 . The biggest common factor number is the GCF number.
So the greatest common factor 528,513 is 3.
Lets's calculate LCM of 45,723
| 3 | 45, 723 |
| 15, 241 |
∴ So the LCM of the given numbers is 3 x 15 x 241 = 10845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10845
Therefore, the GCF of Fractions 528/45,513/723 is 3/10845
Least Common Multiple of 45,723 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 45,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(45,723) x common factors =3 x 1 = 3
LCM(45,723) = ( 45 × 723 ) / 3
LCM(45,723) = 32535 / 3
LCM(45,723) = 10845
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FAQs on GCF of Fractions of 528/45, 513/723
1. What is the HCF of 528,513?
The HCF of 528,513 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 528/45, 513/723?
Answer: GCF of Numerators as per given numbers 528/45, 513/723 is
GCF of Numerators i.e. for 528,513 is 3
LCM of denominators i.e. for 45,723 is 10845.
Thus, GCF of Fractions is 3/10845.Finally, GCF of Fractions for 528/45, 513/723 is 3/10845.