GCF of 2077/201, 5766/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2077/201, 5766/549 i.e 31/36783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2077/201, 5766/549.
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 2077/201,5766/549?
Given fractions are 2077/201,5766/549
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 2077/201,5766/549, numerators are 2077,5766
Denominators are 201,549
The GCF of 2077,5766 is 31 .
LCM of 201,549 is 36783.
The greatest common factor of 2077/201,5766/549 = [GCF of 2077,5766]/[LCM of 201,549]= 31/36783
Therefore, the GCF of 2077/201,5766/549 is 31/36783.
To find the highest common factor of 2077,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 2077 are 1, 31, 67, 2077
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 2077,5766 is 31.
Lets's calculate GCF of 2077,5766
| 31 | 2077, 5766 |
| 67, 186 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2077,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 2077
:1,31,67,2077
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 2077,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 2077,5766 is 31.
Lets's calculate LCM of 201,549
| 3 | 201, 549 |
| 67, 183 |
∴ So the LCM of the given numbers is 3 x 67 x 183 = 36783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/36783
Therefore, the GCF of Fractions 2077/201,5766/549 is 31/36783
Least Common Multiple of 201,549 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 201,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,549) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,549) x common factors =3 x 1 = 3
LCM(201,549) = ( 201 × 549 ) / 3
LCM(201,549) = 110349 / 3
LCM(201,549) = 36783
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FAQs on GCF of Fractions of 2077/201, 5766/549
1. What is the HCF of 2077,5766?
The HCF of 2077,5766 is 31
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 2077/201, 5766/549?
Answer: GCF of Numerators as per given numbers 2077/201, 5766/549 is
GCF of Numerators i.e. for 2077,5766 is 31
LCM of denominators i.e. for 201,549 is 36783.
Thus, GCF of Fractions is 31/36783.Finally, GCF of Fractions for 2077/201, 5766/549 is 31/36783.