Linear combination of gcd(117, 213)=3 can be written as
Answers
Answer:
Step-by-step explanation:
213 = 3 × 71;
117 = 32 × 13;
Take all the common prime factors, by the lowest exponents.
Greatest (highest) common factor (divisor):
gcf, gcd (213; 117) = 3
gcf, gcd (213; 117) = 3;
numbers have common prime factors
Answer:
The correct answer is 11 * 213 +(-20) « 117
Step-by-step explanation:
From the above question,
They have given :
The linear combination of GCD (117, 213)=3
can be written as
(a) 11 * 213 +(-20) « 117
(b) 10 * 213 + (-20) * 117
(c) 11 * 117 +(-20) 213
(d) 20 * 213 + (-25) * 117
The linear combination of the greatest common divisor (gcd) of 117 and 213 can be written as:
gcd(117, 213) = 3
This means that the largest number that divides both 117 and 213 is 3.
A linear combination is a mathematical expression of the form:
ax + by = c,
where a and b are coefficients, x and y are variables, and c is a constant.
So, we can write a linear combination of the gcd(117, 213) as:
3x = c,
where x is a variable and c is a constant.
Based on the above conclusion the final answer is a.
The method used here is the bodmas calculation of the given values.
Therefore the final answer is 11 * 213 +(-20) « 117
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