GCF of 6555/538, 1288/1377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6555/538, 1288/1377 i.e 23/740826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6555/538, 1288/1377.
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 6555/538,1288/1377?
Given fractions are 6555/538,1288/1377
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 6555/538,1288/1377, numerators are 6555,1288
Denominators are 538,1377
The GCF of 6555,1288 is 23 .
LCM of 538,1377 is 740826.
The greatest common factor of 6555/538,1288/1377 = [GCF of 6555,1288]/[LCM of 538,1377]= 23/740826
Therefore, the GCF of 6555/538,1288/1377 is 23/740826.
To find the highest common factor of 6555,1288, we have to find the factors of both numbers and list the highest common factor.
The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The HCF of 6555,1288 is 23.
Lets's calculate GCF of 6555,1288
| 23 | 6555, 1288 |
| 285, 56 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6555,1288 By Matching Biggest Common Factor Method
Now, list down the factors of 6555
:1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Greatest Common Factor
We found the factors 6555,1288 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,1288 is 23.
Lets's calculate LCM of 538,1377
Given numbers has no common factors except 1. So, there LCM is their product i.e 740826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/740826
Therefore, the GCF of Fractions 6555/538,1288/1377 is 23/740826
Least Common Multiple of 538,1377 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 538,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,1377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,1377) x common factors =1 x 1 = 1
LCM(538,1377) = ( 538 × 1377 ) / 1
LCM(538,1377) = 740826 / 1
LCM(538,1377) = 740826
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FAQs on GCF of Fractions of 6555/538, 1288/1377
1. What is the HCF of 6555,1288?
The HCF of 6555,1288 is 23
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 6555/538, 1288/1377?
Answer: GCF of Numerators as per given numbers 6555/538, 1288/1377 is
GCF of Numerators i.e. for 6555,1288 is 23
LCM of denominators i.e. for 538,1377 is 740826.
Thus, GCF of Fractions is 23/740826.Finally, GCF of Fractions for 6555/538, 1288/1377 is 23/740826.