Question

The hcf and lcm of two numbers are 14 and 42 find the ratio from largest to smallest number is

Answer 1

Given, HCF = 14 && LCM = 42

HCF means highest common factor of both the numbers. So both numbers have a common '14' in them.

If we assume a,b as our numbers, '14' being common in them, we can visualize it as:  14a, 14b

LCM contains the HCF too.

Since LCM is 42 and HCF is 14, we can write:

LCM (a,b) = 14*3

14 being common to both the numbers, (a,b) can be: 1*14 , 3*14

Hence the ratio of largest to smallest is: 3*14 : 1*14 = 3:1

Answer = 3:1

Hope it helps

Answer 2

Answer:

The ratio of largest to smallest is: 3*14 : 1*14 = 3:1

Step-by-step explanation:

Given, HCF = 14 & LCM = 42

HCF means the highest common factor of both numbers. So both numbers have a common '14' in them.

If we assume a,b as our numbers, '14' being common in them, we can visualize it as:  14a, 14b

LCM contains the HCF too.

Since LCM is 42 and HCF is 14, we can write:

LCM (a,b) = 14*3

14 being common to both the numbers, (a,b) can be: 1*14 , 3*14

Hence the ratio of largest to smallest is: 3*14 : 1*14 = 3:1