GCF of 5283/593, 6489/7089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5283/593, 6489/7089 i.e 9/4203777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5283/593, 6489/7089.
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 5283/593,6489/7089?
Given fractions are 5283/593,6489/7089
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 5283/593,6489/7089, numerators are 5283,6489
Denominators are 593,7089
The GCF of 5283,6489 is 9 .
LCM of 593,7089 is 4203777.
The greatest common factor of 5283/593,6489/7089 = [GCF of 5283,6489]/[LCM of 593,7089]= 9/4203777
Therefore, the GCF of 5283/593,6489/7089 is 9/4203777.
To find the highest common factor of 5283,6489, we have to find the factors of both numbers and list the highest common factor.
The factors of 5283 are 1, 3, 9, 587, 1761, 5283
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The HCF of 5283,6489 is 9.
Lets's calculate GCF of 5283,6489
| 3 | 5283, 6489 |
| 3 | 1761, 2163 |
| 587, 721 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5283,6489 By Matching Biggest Common Factor Method
Now, list down the factors of 5283
:1,3,9,587,1761,5283
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Greatest Common Factor
We found the factors 5283,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 5283,6489 is 9.
Lets's calculate LCM of 593,7089
Given numbers has no common factors except 1. So, there LCM is their product i.e 4203777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4203777
Therefore, the GCF of Fractions 5283/593,6489/7089 is 9/4203777
Least Common Multiple of 593,7089 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 593,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,7089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,7089) x common factors =1 x 1 = 1
LCM(593,7089) = ( 593 × 7089 ) / 1
LCM(593,7089) = 4203777 / 1
LCM(593,7089) = 4203777
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FAQs on GCF of Fractions of 5283/593, 6489/7089
1. What is the HCF of 5283,6489?
The HCF of 5283,6489 is 9
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 5283/593, 6489/7089?
Answer: GCF of Numerators as per given numbers 5283/593, 6489/7089 is
GCF of Numerators i.e. for 5283,6489 is 9
LCM of denominators i.e. for 593,7089 is 4203777.
Thus, GCF of Fractions is 9/4203777.Finally, GCF of Fractions for 5283/593, 6489/7089 is 9/4203777.