Question

20. The HCF and LCM of two numbers are 131 and 8253 respectively. If one of the numbers is
917, find the other.
​

Answer 1

Answer:

1179

Step-by-step explanation:

Let us see an example.

Consider two numbers 27 and 36. Let us factorize them,

27 = 3 x3 x3

36 = 2 x2 x3 x3

HCF of 27 and 36 = 9, and LCM = 2x2x3x3x3 = 108.

Multiply LCM and HCF: 9x108 = 972.

Next multiply the two numbers: 27x36 = 972.

So the product of the two numbers is the same as the product of their HCF and LCM.

Following the same principle in the current problem: HCF x LCM = 131x8253 = 1081143

So if one number is 917, the other number is 1081143/917 = 1179.

Check: 917 = 7x131

1179 = 131x9.

HCF = 131, and LCM = 7x9x131 = 8253. Correct.

The other number is 1179.

Plz Mark As Brainliest.