Question

find the greatest number which divided 258 and 292 leaving remainder 3 in each

Answer 1

$\boxed{\boxed{\tt{Solution :- }}}$

Step 1 : Subtract 3 (remainder) from 258 and 292

258 - 3 = 255

292 - 3 = 289


Step 2 : Find the prime factors of new numbers

255 = 3 × 5 × 17

289 = 17 × 17


Step 3 : Find the common factors

Common factors = 17


Step 4 : Find the HCF

The product of the common factors is the HCF of the numbers

∴ HCF = 17


∴ The greatest number which divided 258 and 292 leaving remainder 3 in each case is $\pink{\underline{\pink{\underline{\tt{\red{17}}}}}}$


$\large{\boxed{\boxed{\tt{Thanks}}}}$