Question

Find the greatest number that divides 3960, 4455, and2970 without leaving any remainder.​

Answer 1

Answer:

the greatest number that divides 3960,4455 and 2970 is their HCF .

therefore the answer is= 495

Step-by-step explanation:

#1 Start by writing all of your numbers next to each other:

3960 ,4455, 2970

#2 Find a prime number which can divide at least two of your numbers by (without remainder).

Write that prime number on the left hand side:

3 3960 ,4455, 2970

#3 Divide your original numbers by the prime and write the quotients under original numbers:

3 3960 ,4455 ,2970

1320 ,1485, 990

#4 Repeat until the whole table is complete:

3 3960, 4455 ,2970

3 1320 ,1485 ,990

5 440 ,495 ,330

11 88, 99, 66

8, 9, 6

#5 Find the HCF by multiplying all values in the orange column:

3 x 3 x5 x11 = 495

#6 The Highest Common Factor of 3960, 4455 and 2970 is: 495

hope it will help you