GCF of 5727/42, 2781/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5727/42, 2781/906 i.e 3/6342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5727/42, 2781/906.
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 5727/42,2781/906?
Given fractions are 5727/42,2781/906
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 5727/42,2781/906, numerators are 5727,2781
Denominators are 42,906
The GCF of 5727,2781 is 3 .
LCM of 42,906 is 6342.
The greatest common factor of 5727/42,2781/906 = [GCF of 5727,2781]/[LCM of 42,906]= 3/6342
Therefore, the GCF of 5727/42,2781/906 is 3/6342.
To find the highest common factor of 5727,2781, we have to find the factors of both numbers and list the highest common factor.
The factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727
The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781
The HCF of 5727,2781 is 3.
Lets's calculate GCF of 5727,2781
| 3 | 5727, 2781 |
| 1909, 927 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5727,2781 By Matching Biggest Common Factor Method
Now, list down the factors of 5727
:1,3,23,69,83,249,1909,5727
Now, list down the factors of 2781
:1,3,9,27,103,309,927,2781
Greatest Common Factor
We found the factors 5727,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 5727,2781 is 3.
Lets's calculate LCM of 42,906
| 2 | 42, 906 |
| 3 | 21, 453 |
| 7, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 151 = 6342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6342
Therefore, the GCF of Fractions 5727/42,2781/906 is 3/6342
Least Common Multiple of 42,906 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 42,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,906) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,906) x common factors =6 x 1 = 6
LCM(42,906) = ( 42 × 906 ) / 6
LCM(42,906) = 38052 / 6
LCM(42,906) = 6342
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FAQs on GCF of Fractions of 5727/42, 2781/906
1. What is the HCF of 5727,2781?
The HCF of 5727,2781 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 5727/42, 2781/906?
Answer: GCF of Numerators as per given numbers 5727/42, 2781/906 is
GCF of Numerators i.e. for 5727,2781 is 3
LCM of denominators i.e. for 42,906 is 6342.
Thus, GCF of Fractions is 3/6342.Finally, GCF of Fractions for 5727/42, 2781/906 is 3/6342.