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The HCF and LCM of two numbers is 8 and 224 respectively. If one of the numbers is 56, the other number is _______
Given that: HCF = 8
LCM = 224
Let the two numbers be a and b, where a = 56, b =?
We know that: a x b = HCF x LCM
⇒
⇒ b =32
Hence, the other number is 32
Which of the following number is divisible by 2 but not by 4?
10 is divisible by 2 but not by 4.
Find the greatest number which will divide the greatest 3digit number and the greatest 4digit number exactly
The greatest 3digit Number is 999
The greatest 4digit Number is 9999
The factors of 999 are: 1, 3, 9, 27, 37, 111, 333, 999
The factors of 9999 are: 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
Then the greatest common factor is 9.
The least number which when decreased by 9 is exactly divisible by 28, 42, 21 and 16 is _______
To find the least number, we need to find the LCM of 28, 42, 21 and 16.
Prime Factorization of 16 is:
Prime Factorization of 21 is:
Prime Factorization of 28 is:
Prime Factorization of 42 is:
LCM
LCM = 336
Therefore,
LCM (16, 21, 28, 42) = 336
When 9 is added to 336, we get 345.
Hence, 345 is the least number when decreased by 9 is divisible by 28, 42, 21 and 16.