GCF of 594/271, 345/392, 945/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 594/271, 345/392, 945/708 i.e 3/18803064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/271, 345/392, 945/708.
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 594/271,345/392,945/708?
Given fractions are 594/271,345/392,945/708
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 594/271,345/392,945/708, numerators are 594,345,945
Denominators are 271,392,708
The GCF of 594,345,945 is 3 .
LCM of 271,392,708 is 18803064.
The greatest common factor of 594/271,345/392,945/708 = [GCF of 594,345,945]/[LCM of 271,392,708]= 3/18803064
Therefore, the GCF of 594/271,345/392,945/708 is 3/18803064.
To find the highest common factor of 594,345,945, 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 345 are 1, 3, 5, 15, 23, 69, 115, 345
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 594,345,945 is 3.
Lets's calculate GCF of 594,345,945
| 3 | 594, 345, 945 |
| 198, 115, 315 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 594,345,945 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 345
:1,3,5,15,23,69,115,345
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 594,345,945 . The biggest common factor number is the GCF number.
So the greatest common factor 594,345,945 is 3.
Lets's calculate LCM of 271,392,708
| 2 | 271, 392, 708 |
| 2 | 271, 196, 354 |
| 271, 98, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 271 x 98 x 177 = 18803064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18803064
Therefore, the GCF of Fractions 594/271,345/392,945/708 is 3/18803064
Least Common Multiple of 271,392,708 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 271,392,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,392,708) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(271,392,708) x common factors =1 x 4 = 4
LCM(271,392,708) = ( 271 × 392 × 708 ) / 4
LCM(271,392,708) = 75212256 / 4
LCM(271,392,708) = 18803064
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FAQs on GCF of Fractions of 594/271, 345/392, 945/708
1. What is the HCF of 594,345,945?
The HCF of 594,345,945 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 594/271, 345/392, 945/708?
Answer: GCF of Numerators as per given numbers 594/271, 345/392, 945/708 is
GCF of Numerators i.e. for 594,345,945 is 3
LCM of denominators i.e. for 271,392,708 is 18803064.
Thus, GCF of Fractions is 3/18803064.Finally, GCF of Fractions for 594/271, 345/392, 945/708 is 3/18803064.