Question

Find the greatest number which divides 43 and 91 leaving remainder 7 in each case

Answer 1

Answer:

The greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case is 4.

Answer 2

Answer: 3920

Step-by-step explanation:

The greatest number which divides two numbers is given by the LCM of the two numbers.

Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers. Finding the LCM of a given collection of numbers can be done in a variety of ways. Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

The factors of 43 : 1 and 43

The factors of 91 = 1, 7 and 13

The LCM of 43 and 91 = 43 x 7 x 13

                                     = 3913

The greatest number which divides 43 and 91 leaving remainder 7

                     = 3913 + 7

                     = 3920

#SPJ2

https://brainly.in/question/9620882

https://brainly.in/question/14939603