Question

a number is divided by 77 what is the greatest number that can be obtained as a reminder​

Answer 1

Answer:

Since, 5 and 8 are the remainders of 70 and 125, respectively. Thus, after subtracting these remainders from the numbers, we have the numbers 65 = (70 – 5), 117 = (125−8), which is divisible by the required number. Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8

Step-by-step

Least Common Multiples. ... lcm(a, b) = a × b / gcd(a, b). To use this formula we can compute a gcd with the calculator method we saw in the assignment Greatest Common Divisors and then do the multiplication and division. For example, once we see that gcd(40, 45) = 5, we get lcm(40, 45) = 40 × 45 / 5 = 360.