1155/735 =1 with remainder of 420
735/420 = 1 with remainder of 315
420/315 = 1 with remainder of 105
315/105 = 3 with no remainder
so 105 is the largest number
Answer:
The greatest number which exactly divides 735 and 1155 is 105.
Step-by-step explanation:
Consider the provided numbers 735 and 1155.
The prime factorization of the number 735 is:
735=3×5×7×7
The prime factorization of the number 1155 is:
1155=3×5×7×11
The greatest common multiple of the numbers 735 and 1155 is:
3×5×7=105
Hence, the greatest number which exactly divides 735 and 1155 is 105.
