LCM is the multiplication of one common factor of the numbers and the other different factors of the numbers.
Write the LCM = 120 into factored form, that is
120 = 2 × 2 × 2 × 3 × 5
= 4(2 × 3 × 5)
⇒ 4 is the common factor of the numbers.
So, the HCF of three numbers is a multiple of 4.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, …
Since 35 is not the multiple of 4, therefore 35 cannot be their HCF.
35
35
35
LCM is the multiplication of one common factor of the numbers and the other different factors of the numbers.
Write the LCM = 120 into factored form, that is
120 = 2 × 2 × 2 × 3 × 5
= 4(2 × 3 × 5)
⇒ 4 is the common factor of the numbers.
So, the HCF of three numbers is a multiple of 4.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, …
Since 35 is not the multiple of 4, therefore 35 cannot be their HCF.
Therefore, [D] 35 is the correct option.
HCF is always a factor of LCM.
only 35 is not a factor of 120.
So 35 is not their HCF
D
35 is not the factor of 120 so…35 is the answer