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`        The GCD of two numbers is 17 and their LCM is 765 how many pairs of values can the numbers assume? `
10 months ago

```							The gcd of two numbers is 17 and their LCM is 765 how many pairs of values can the number assumeSolutions
```
10 months ago
```							Given that The GCD(HCF) of two number is 17 and lcm is 765.let the numbers be 17x and 17yProduct of the numbers = Product of LCM and HCF17x * 17y = 765 * 17289xy = 765*17xy = 45Factor pairs of 45: 5*9; 3*15Hence the numbers5*17 = 859*17 = 1533*17 = 5115*17 = 255Based on the above only two pairs possible: 85 & 153; 51 & 255
```
6 months ago
```							Dear student,let 17x = one of a pair of numberslet 17y = the other number17x * 17y = 765289xy = 765simplify, divide by 17xy = 45Factor pairs of 45: 5*9; 3*15therefore the numbers5*17 = 859*17 = 153and3*17 = 5115*17 = 255I can find two pairs: 85 & 153; 51 & 255. Hope this will help you out . With RegardsSwati
```
one month ago
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