GCF of 206/576, 194/596, 162/528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 206/576, 194/596, 162/528 i.e 2/944064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/576, 194/596, 162/528.
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 206/576,194/596,162/528?
Given fractions are 206/576,194/596,162/528
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 206/576,194/596,162/528, numerators are 206,194,162
Denominators are 576,596,528
The GCF of 206,194,162 is 2 .
LCM of 576,596,528 is 944064.
The greatest common factor of 206/576,194/596,162/528 = [GCF of 206,194,162]/[LCM of 576,596,528]= 2/944064
Therefore, the GCF of 206/576,194/596,162/528 is 2/944064.
To find the highest common factor of 206,194,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 206 are 1, 2, 103, 206
The factors of 194 are 1, 2, 97, 194
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 206,194,162 is 2.
Lets's calculate GCF of 206,194,162
| 2 | 206, 194, 162 |
| 103, 97, 81 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 206,194,162 By Matching Biggest Common Factor Method
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 194
:1,2,97,194
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 206,194,162 . The biggest common factor number is the GCF number.
So the greatest common factor 206,194,162 is 2.
Lets's calculate LCM of 576,596,528
| 2 | 576, 596, 528 |
| 2 | 288, 298, 264 |
| 2 | 144, 149, 132 |
| 2 | 72, 149, 66 |
| 3 | 36, 149, 33 |
| 12, 149, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 12 x 149 x 11 = 944064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/944064
Therefore, the GCF of Fractions 206/576,194/596,162/528 is 2/944064
Least Common Multiple of 576,596,528 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 576,596,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,596,528) = 4
common factors(in case of two or more numbers have common factors) = 48
GCF(576,596,528) x common factors =4 x 48 = 192
LCM(576,596,528) = ( 576 × 596 × 528 ) / 192
LCM(576,596,528) = 181260288 / 192
LCM(576,596,528) = 944064
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FAQs on GCF of Fractions of 206/576, 194/596, 162/528
1. What is the HCF of 206,194,162?
The HCF of 206,194,162 is 2
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 206/576, 194/596, 162/528?
Answer: GCF of Numerators as per given numbers 206/576, 194/596, 162/528 is
GCF of Numerators i.e. for 206,194,162 is 2
LCM of denominators i.e. for 576,596,528 is 944064.
Thus, GCF of Fractions is 2/944064.Finally, GCF of Fractions for 206/576, 194/596, 162/528 is 2/944064.