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HCF of 3 means that the two numbers share 3 as a prime factor. LCM of 30 means there is a 2, a 3 and a 5 as prime factors between the numbers.

With this info, we can have the combination where one number has a 2 and the other a 5 (and both have the 3) or one number has just the 3 and the other has 2, 3 and 5.

Thus the 2 numbers can be 6 and 15. Or they can be 3 and 30.

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Q: 2 numbers have the LCM of 30 and an HCF of 3 what are the numbers?
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What 2 numbers have the LCM of 30 and the HCF of 3?

3 and 30.


Which 2 numbers have a HCF of 2 and a LCM of 30?

6 and 10 2x3=6 2x5=10 HCF=2 LCM=30


How do you find sets of two numbers if HCF and LCM are known?

You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.


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30 & 1. 15 & 2. 10 & 3.


What is the hcf and LCM of 14 and 30?

hcf(14, 30) = 2 lcm(14, 30) = 210 14 = 2 x 7 30 = 2 x 3 x 5 hcf = 2 lcm = 2 x 3 x 5 x 7 = 210


What two numbers have the LCM of 30 and a HCF of 1?

2 and 15 3 and 10 5 and 6


If the HCF and LCM of two numbers are 17 and 102 respectively and the HCF and LCM of two other numbers are 68 and 476 respectively then find the sum of the HCF and LCM of these four numbers?

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2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.


Can two numbers have 20 as HCF and 535 as LCM?

HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.