GCF of 242/69, 186/78, 568/86
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 242/69, 186/78, 568/86 i.e 2/77142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/69, 186/78, 568/86.
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 242/69,186/78,568/86?
Given fractions are 242/69,186/78,568/86
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 242/69,186/78,568/86, numerators are 242,186,568
Denominators are 69,78,86
The GCF of 242,186,568 is 2 .
LCM of 69,78,86 is 77142.
The greatest common factor of 242/69,186/78,568/86 = [GCF of 242,186,568]/[LCM of 69,78,86]= 2/77142
Therefore, the GCF of 242/69,186/78,568/86 is 2/77142.
To find the highest common factor of 242,186,568, we have to find the factors of both numbers and list the highest common factor.
The factors of 242 are 1, 2, 11, 22, 121, 242
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The HCF of 242,186,568 is 2.
Lets's calculate GCF of 242,186,568
| 2 | 242, 186, 568 |
| 121, 93, 284 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 242,186,568 By Matching Biggest Common Factor Method
Now, list down the factors of 242
:1,2,11,22,121,242
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 242,186,568 . The biggest common factor number is the GCF number.
So the greatest common factor 242,186,568 is 2.
Lets's calculate LCM of 69,78,86
| 2 | 69, 78, 86 |
| 3 | 69, 39, 43 |
| 23, 13, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 13 x 43 = 77142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77142
Therefore, the GCF of Fractions 242/69,186/78,568/86 is 2/77142
Least Common Multiple of 69,78,86 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 69,78,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,78,86) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(69,78,86) x common factors =1 x 6 = 6
LCM(69,78,86) = ( 69 × 78 × 86 ) / 6
LCM(69,78,86) = 462852 / 6
LCM(69,78,86) = 77142
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FAQs on GCF of Fractions of 242/69, 186/78, 568/86
1. What is the HCF of 242,186,568?
The HCF of 242,186,568 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 242/69, 186/78, 568/86?
Answer: GCF of Numerators as per given numbers 242/69, 186/78, 568/86 is
GCF of Numerators i.e. for 242,186,568 is 2
LCM of denominators i.e. for 69,78,86 is 77142.
Thus, GCF of Fractions is 2/77142.Finally, GCF of Fractions for 242/69, 186/78, 568/86 is 2/77142.