Question

19. HCF of 120, 180 and 300 is 1/1
*​

Answer 1

Step-by-step explanation:

Prime factors of 120 = 23 . 3 . 5

Prime factors of 180 = 22 . 32 . 5

Prime factors of 300 = 22 . 3 . 52

Common prime factors: 2 , 3 , 5

Common prime factors with the greatest exponent: 23, 32, 52

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 23. 32. 52 = 1800

Answer 2

Step-by-step explanation:

120, 180 and 300 are the next:

1. Decompose all numbers into prime factors

120 2

60 2

30 2

15 3

5 5

1

180 2

90 2

45 3

15 3

5 5

1

300 2

150 2

75 3

25 5

5 5

1

2. Write all numbers as the product of its prime factors

Prime factors of 120 = 23 . 3 . 5

Prime factors of 180 = 22 . 32 . 5

Prime factors of 300 = 22 . 3 . 52

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 5

Common prime factors with the lowest exponent: 22, 31, 51

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 31. 51 = 60