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.
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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