Question

find the greatest number which will divide 140,170 and 155 leaving remainder 5 in each case

Answer 1

Answer:

73785

Step-by-step explanation:

Find the prime factors:

140 =  2² x 5 x 7

170 = 2 x 5 x 17

155 = 5 x 31

Find the LCM:

LCM =  2² x 5 x 7 x 17 x 31 = 73780

Find the number:

The remainder is 5

Number = 73780 + 5 = 73785

Answer: The number is 73785

Check:

73785 ÷ 140 = 527  remainder 5

73785 ÷ 170 = 434 remainder 5

73785 ÷ 155 = 476 remainder 5

Answer 2

Answer:

The required number is 5.

Step-by-step explanation:

Given: 140 , 170 , 155

To find: highest No which divides given numbers and leaves 5 as remainder.

Step 1: we subtract 5 from each number

140 - 5 = 135

170 - 5 = 165

155 - 5 = 150

Step 2: we find HCF (Highest Common Factor) of given number

140 = 2 × 2 × 5 × 7

165 = 5 × 3 × 11

150 = 3 × 5 × 2 × 5

So, HCF = 5

Therefore, The required number is 5