GCF of 594/82, 597/230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 594/82, 597/230 i.e 3/9430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/82, 597/230.
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 594/82,597/230?
Given fractions are 594/82,597/230
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 594/82,597/230, numerators are 594,597
Denominators are 82,230
The GCF of 594,597 is 3 .
LCM of 82,230 is 9430.
The greatest common factor of 594/82,597/230 = [GCF of 594,597]/[LCM of 82,230]= 3/9430
Therefore, the GCF of 594/82,597/230 is 3/9430.
To find the highest common factor of 594,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The factors of 597 are 1, 3, 199, 597
The HCF of 594,597 is 3.
Lets's calculate GCF of 594,597
| 3 | 594, 597 |
| 198, 199 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 594,597 By Matching Biggest Common Factor Method
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 594,597 . The biggest common factor number is the GCF number.
So the greatest common factor 594,597 is 3.
Lets's calculate LCM of 82,230
| 2 | 82, 230 |
| 41, 115 |
∴ So the LCM of the given numbers is 2 x 41 x 115 = 9430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9430
Therefore, the GCF of Fractions 594/82,597/230 is 3/9430
Least Common Multiple of 82,230 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 82,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,230) x common factors =2 x 1 = 2
LCM(82,230) = ( 82 × 230 ) / 2
LCM(82,230) = 18860 / 2
LCM(82,230) = 9430
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FAQs on GCF of Fractions of 594/82, 597/230
1. What is the HCF of 594,597?
The HCF of 594,597 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 594/82, 597/230?
Answer: GCF of Numerators as per given numbers 594/82, 597/230 is
GCF of Numerators i.e. for 594,597 is 3
LCM of denominators i.e. for 82,230 is 9430.
Thus, GCF of Fractions is 3/9430.Finally, GCF of Fractions for 594/82, 597/230 is 3/9430.