Question

G.C.D of 1066 and 46189

Answer 1

Calculate the greatest (highest) common factor (divisor).

Integer numbers prime factorization:
1,066 = 2 × 13 × 41;
46,189 = 11 × 13 × 17 × 19;

Take all the common prime factors, by the lowest powers (exponents).Greatest (highest) common factor (divisor), gcf, gcd:
gcf, gcd (1,066; 46,189) = 13;

2. Divide fraction's both numerator and denominator by their greatest common factor (divisor), gcf (gcd).

1,066/46,189 =(2 × 13 × 41)/(11 × 13 × 17 × 19) =((2 × 13 × 41) ÷ 13) / ((11 × 13 × 17 × 19) ÷ 13) =(2 × 41)/(11 × 17 × 19) =82/3,553

3. Rewrite the end result:

82 ÷ 3,553 = 0.023079088095 as a decimal number.

Final answer
:: written in two ways ::

As a proper fraction
(numerator smaller than denominator): 
1,066/46,189 = 82/3,553As a decimal number:
1,066/46,189 = 0.023079088095Reduce to the lowest terms (simplify) the reciprocal fraction, interchange numerator & denominator, turn fraction upside down: 46,189/1,066How to reduce (simplify) to the lowest terms: 
1,065/46,189 = ? ... 1,067/46,189 = ?

Answer 2

1. 46189 divided by 1066, we get 351 for the remainder.

2. In the next stage, 351 is the divisor, and 1066 is the dividend.

3. This division gives 13 as the remainder.

4. In the next stage, 13 is the divisor, and 351 is the dividend.

5. This division gives 0 a remainder (27).

6. The last divisor is given a two-digit GCF.

Therefore, GCF is 1066 and 46189 = 13.