GCF of 5781/218, 6666/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5781/218, 6666/512 i.e 3/55808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5781/218, 6666/512.
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 5781/218,6666/512?
Given fractions are 5781/218,6666/512
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 5781/218,6666/512, numerators are 5781,6666
Denominators are 218,512
The GCF of 5781,6666 is 3 .
LCM of 218,512 is 55808.
The greatest common factor of 5781/218,6666/512 = [GCF of 5781,6666]/[LCM of 218,512]= 3/55808
Therefore, the GCF of 5781/218,6666/512 is 3/55808.
To find the highest common factor of 5781,6666, we have to find the factors of both numbers and list the highest common factor.
The factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781
The factors of 6666 are 1, 2, 3, 6, 11, 22, 33, 66, 101, 202, 303, 606, 1111, 2222, 3333, 6666
The HCF of 5781,6666 is 3.
Lets's calculate GCF of 5781,6666
| 3 | 5781, 6666 |
| 1927, 2222 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5781,6666 By Matching Biggest Common Factor Method
Now, list down the factors of 5781
:1,3,41,47,123,141,1927,5781
Now, list down the factors of 6666
:1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666
Greatest Common Factor
We found the factors 5781,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 5781,6666 is 3.
Lets's calculate LCM of 218,512
| 2 | 218, 512 |
| 109, 256 |
∴ So the LCM of the given numbers is 2 x 109 x 256 = 55808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55808
Therefore, the GCF of Fractions 5781/218,6666/512 is 3/55808
Least Common Multiple of 218,512 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 218,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,512) x common factors =2 x 1 = 2
LCM(218,512) = ( 218 × 512 ) / 2
LCM(218,512) = 111616 / 2
LCM(218,512) = 55808
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FAQs on GCF of Fractions of 5781/218, 6666/512
1. What is the HCF of 5781,6666?
The HCF of 5781,6666 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 5781/218, 6666/512?
Answer: GCF of Numerators as per given numbers 5781/218, 6666/512 is
GCF of Numerators i.e. for 5781,6666 is 3
LCM of denominators i.e. for 218,512 is 55808.
Thus, GCF of Fractions is 3/55808.Finally, GCF of Fractions for 5781/218, 6666/512 is 3/55808.