The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is · ABC26GN0490
Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is
(a)101
(b)107
(c)111
(d)185
Answer
Answer (as printed): C
Explanation
Let the numbers be 37a and 37b. Then, $37 a \times 37 b=4107 \Rightarrow a b=3$. Now, co-primes with product 3 are (1, 3). So, the required numbers are (37 × 1, 37 × 3) i.e., (1, 111). $\therefore \quad$ Greater number = 111.
Explanation as extracted from the printed page; notation may be imperfect.