Question

Find the ratio of the HCF and the LCM of the numbers 18 and 30.

Answer 1

Answer:

Ratio H C F and LCM of number 18 and 30 is 1:15

Step-by-step explanation:

In context to the equation or question it is asked to find   H C F and the LCM of the numbers 18 and 30.  as we all know the meaning of LCM and H C F In Math, H CF means the Highest Common Factor. When finding the factors of two or more numbers, some numbers are found to be common. The greatest factor found, For a given set of numbers the LCM is the smallest number that is a multiple of every one of the numbers. •

The data  is given as follows

18 and 30

$18=2\times 3 \times 3\\30=2\times 3 \times5$

 It is seen that 2 x 3 is common is

hence

H.C.F of 18 and 30 is 6.

now LCM of 18 and 30

$18=2\times 3 \times 3\\30=2\times 3 \times5$

    $LCM= 2\times 3 \times 5 \times3\\ =90$

so H C F= 6

     LCM= 90

ratio of H C F and LCM

6:90

by converting to the lowest term we get

1:15 ( as both number are divisible by 6)

Answer 2

Answer:

The ratio of the HCF and the LCM of the numbers 18 and 30 is  1 : 15.

Step-by-step explanation:

• HCF of 18 and 30:

        18 = 2×3×3

        30 = 2×3×5

Hence , the HCF of 18,30 is = 2×3 = 6

• LCM of 18 and 30:

        18 = 2×3×3

        30 = 2×3×5

Hence , the LCM of 18,30 is = 2×3×3×5=90

• The Ratio of the HCF and the LCM of the numbers 18 and 30 is

        = 6 : 90 = 1 : 15

• HCF : The full form of HCF in Mathematics is Highest Common Factor.

The greatest common divisor or GCD of two or more positive integers is the largest positive integer that divides the numbers without leaving a remainder. For example,  The H.C.F. of 8 and 12 will be 4 because the highest number that can divide both 8 and 12 is 4.

• LCM : The full form of LCM is Least Common Multiple.

The least common multiple or LCM of two numbers say a and b, is the smallest or least positive integer that is divisible by both the numbers a and b. For example, consider two positive integers 4 and 6.

• Multiples of 4 are: 4,8,12,16,20,24…
• Multiples of 6 are: 6,12,18,24….

The common multiples for 4 and 6 are 12,24,36,48…and so on but the  least common multiple of 4 and 6  would be 12.

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