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2. 6
3. 1
4. 2
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WHAT IS LCM OF A TWO CO- PRIME NUMBERS :
Coprime necessarily means that there is no common factor (other than 1) between the numbers. When two numbers are coprimewith respect to each other, since they don't share any factor common to both (other than 1), and the LCM would be product of the two numbers.
WHAT IS THE HCF OF TWO CONSECUTIVE NUMBER :
HCF of any two consecutive natural numbers is 1. because the difference between two consecutive numbers is one & if the HCF is greater than one the the two consecutive numbers has to be divisible by that numberwhich is not possible
HCF OF 65 AND 117 IS 65n - 117 . FIND n : Let us find the HCF of 65 and 117,
117 = 1 × 65 + 52
65 = 1 × 52 + 13
52 = 4 ×13 + 0
therefore HCF of 65 and 117 is 13.
65n -117 = 13
65n = 117+13 = 130
n = 130 / 65 =2
Now, 65 = 5 × 13
117 = 13 × 3 × 3
LCM of 65 and 117 = 5 × 13 × 3 × 3 = 585
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