Question

61.
Find the greatest number which on
dividing 2434 and 3075 leaves
remainders 2 and 3 respectively
(a) 210
(c) 160
(b) 150
(d) 128​

Answer 1

Answer:

I think it is 210

Step-by-step explanation:

please mark me as brainlist

Answer 2

Concept

HCF or Highest Common Factor is the largest number which divides each of the two or more numbers. It is opposite of LCM (LOWEST COMMON FACTOR).

Given

Quotients=2434, 3075

Remainders=2 and 3

To find

The highest divisor.

Explanation

First we have to subtract the remainder to the quotient and then find the hcf of those numbers.

2434-2=2432

3075-3=3072

2432 can be written as 2*2*2*2*2*2*2*19

3072 can be written as 2*2*2*2*2*2*2*2*2*2*3

If we find HCF then it will be equal to 2*2*2*2*2*2*2

=128

Hence the largest number which on dividing 2434 and 3075 gives remainder 2 and 3 is 128.

#SPJ3