GCF of 540/73, 286/4114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 540/73, 286/4114 i.e 2/300322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 540/73, 286/4114.
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 540/73,286/4114?
Given fractions are 540/73,286/4114
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 540/73,286/4114, numerators are 540,286
Denominators are 73,4114
The GCF of 540,286 is 2 .
LCM of 73,4114 is 300322.
The greatest common factor of 540/73,286/4114 = [GCF of 540,286]/[LCM of 73,4114]= 2/300322
Therefore, the GCF of 540/73,286/4114 is 2/300322.
To find the highest common factor of 540,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 540,286 is 2.
Lets's calculate GCF of 540,286
| 2 | 540, 286 |
| 270, 143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 540,286 By Matching Biggest Common Factor Method
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 540,286 . The biggest common factor number is the GCF number.
So the greatest common factor 540,286 is 2.
Lets's calculate LCM of 73,4114
Given numbers has no common factors except 1. So, there LCM is their product i.e 300322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300322
Therefore, the GCF of Fractions 540/73,286/4114 is 2/300322
Least Common Multiple of 73,4114 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 73,4114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,4114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,4114) x common factors =1 x 1 = 1
LCM(73,4114) = ( 73 × 4114 ) / 1
LCM(73,4114) = 300322 / 1
LCM(73,4114) = 300322
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FAQs on GCF of Fractions of 540/73, 286/4114
1. What is the HCF of 540,286?
The HCF of 540,286 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 540/73, 286/4114?
Answer: GCF of Numerators as per given numbers 540/73, 286/4114 is
GCF of Numerators i.e. for 540,286 is 2
LCM of denominators i.e. for 73,4114 is 300322.
Thus, GCF of Fractions is 2/300322.Finally, GCF of Fractions for 540/73, 286/4114 is 2/300322.