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HCF of 132, 156 and 192 is x, HCF of 105, 150 and 210 is y, and HCF of 112, 196 and 210 is z. Which is the greatest HCF?
Consider the following statements: 1. The HCF of (p + q) and (p2 – q2) is (p + q). 2. The HCF of (p – q) and (p2 – q2) is (p + q). 3. The HCF of (p + q) and (p3 + q3) is (p + q). 4. The HCF of (p – q) and (p3 – q3)  is (p + q). Which of the above statements is/are correct?
Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
Consider the following sentences: 1. If a = bc with HCF(b, c) = 1, then HCF(c, bd) = HCF(c, d). 2. If a = bc with HCF(b, c) = 1, then LCM(a, d) = LCM(c, bd). Which of the above statements is/are correct?
Which of the following is/are true? I. HCF of p2-p-6 and p6-93 is 1. II. HCF of x+y and x10-y10 is x+y. III. HCF of x+y and x10+y10 is x+y.
HCF and LCM of two numbers P and Q are 16 and 560 respectively and when 8 is added to P and 20 is added to Q, then HCF and LCM become 20 and 600 respectively, then what is the ratio of the value of P to Q? Assume both P and Q are more than 50.
There are two distinct numbers A and B of which A is larger. If LCM and HCF of A and B are 525 and 15 respectively and their LCM is 7 times that of B, then what is the HCF of A and B when 5 is added to both A and B?
There are two numbers A and B (A > B) of two-digits each and their HCF is 18. If LCM and HCF of B and 45 are 270 and 9 respectively and the difference between digits of A is 5, then what is the LCM of A and B?
Two positive numbers A and B are equidistant from 56 and HCF and LCM of A and B is 16 and 192 respectively, then what can be the difference between LCM and HCF of A and 56?
There are two numbers A and B and the sum of the square of both the numbers is 2197 and the multiplication of LCM and HCF of both the numbers is 1014, then LCM of A and B is how much times of their HCF?