936 = 23 x 32 x 13
If no number is repeated then every number that appears once is a mode. They appear once, which is more often than any numbers that do not appear at all.
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
1) Get the prime factors for each number. 2) In the result, include all the prime factors that appear in ALL the numbers. If a prime factor appears in different powers, use the lowest power. Example 1: 14 = 2 x 7 21 = 3 x 7 The only common factor is 7. Example 2: 12 = 22 x 3 80 = 24 x 5 Use 22 as the common factor.
The idea here is to factor each of the numbers. Then look for common factors, i.e., factors that appear in both numbers.
You can factor 540 into prime factors. Then, for each prime factor that doesn't appear 3, 6, 9, ... times, add additional factors to complete a multiple of 3. These factors will make up the number "k".
22*72 = 196
2^2 = 4
245 = 51 x 72
441 = 32 x 72
35 x 7 = 1701
22*52*43 = 4300
75 = 3 x 52
22 x 32 = 36
2 x 72 = 98
23 x 32 x 11 = 792
23 x 32 x 17 = 1224
22 x 52 x 13 = 1300