Question

3. Find the greatest number that will divide 138 and 183 and 423 leaving 3 as remainder in each case.​

Answer 1

Answer:

15

Step-by-step explanation:

138, 183, 423

leaves a remainder of 3

138 - 3 = 135

183 - 3 = 180

423 - 3 = 420

we need to find out the HCF of 135, 180 and 420

135 = 3 × 3 × 3 × 5

180 = 2 × 2 × 3 × 3 × 5

420 = 2 × 2 × 3 × 5 × 7

HCF of 135, 180 and 420 is 15

therefore 15 divides 138, 183 and 423 leaving the remainder of 3

Hope you get your answer