Question

what is the greatest number which when divides 3026 and 5053 leaves remainder 11 and 13 respectively?​

Answer 1

Answer:

45

Step-by-step explanation:

subtract 11 from 3026 and 13 from 5053

3026 - 11 = 3015

5053 - 13 = 5040

HCF of 3015 and 5040

3,015 = 3 × 3 × 5 × 67

5,040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7

HCF of 3015 and 5040 = 3 × 3 × 5 = 45

45 divides 3026 and 5053 leaving remainder 11 and 13 respectively.

3026 = (45 × 67) + 11

5053 = (45 × 112) + 13

hope you get your answer