GCF of 6594/567, 9345/1710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6594/567, 9345/1710 i.e 21/107730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6594/567, 9345/1710.
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 6594/567,9345/1710?
Given fractions are 6594/567,9345/1710
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 6594/567,9345/1710, numerators are 6594,9345
Denominators are 567,1710
The GCF of 6594,9345 is 21 .
LCM of 567,1710 is 107730.
The greatest common factor of 6594/567,9345/1710 = [GCF of 6594,9345]/[LCM of 567,1710]= 21/107730
Therefore, the GCF of 6594/567,9345/1710 is 21/107730.
To find the highest common factor of 6594,9345, we have to find the factors of both numbers and list the highest common factor.
The factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594
The factors of 9345 are 1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345
The HCF of 6594,9345 is 21.
Lets's calculate GCF of 6594,9345
| 3 | 6594, 9345 |
| 7 | 2198, 3115 |
| 314, 445 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6594,9345 By Matching Biggest Common Factor Method
Now, list down the factors of 6594
:1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594
Now, list down the factors of 9345
:1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345
Greatest Common Factor
We found the factors 6594,9345 . The biggest common factor number is the GCF number.
So the greatest common factor 6594,9345 is 21.
Lets's calculate LCM of 567,1710
| 3 | 567, 1710 |
| 3 | 189, 570 |
| 63, 190 |
∴ So the LCM of the given numbers is 3 x 3 x 63 x 190 = 107730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/107730
Therefore, the GCF of Fractions 6594/567,9345/1710 is 21/107730
Least Common Multiple of 567,1710 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 567,1710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,1710) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(567,1710) x common factors =9 x 1 = 9
LCM(567,1710) = ( 567 × 1710 ) / 9
LCM(567,1710) = 969570 / 9
LCM(567,1710) = 107730
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FAQs on GCF of Fractions of 6594/567, 9345/1710
1. What is the HCF of 6594,9345?
The HCF of 6594,9345 is 21
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 6594/567, 9345/1710?
Answer: GCF of Numerators as per given numbers 6594/567, 9345/1710 is
GCF of Numerators i.e. for 6594,9345 is 21
LCM of denominators i.e. for 567,1710 is 107730.
Thus, GCF of Fractions is 21/107730.Finally, GCF of Fractions for 6594/567, 9345/1710 is 21/107730.