Question

Find the greatest number which exactly divides 708, 944, 1770.​

Answer 1

Answer:

Take HCF of 48,72 and 60

You will get 12 , right.

Which is your desired result

There are two methods of finding HCF.

1- by division method

2- by prime factorization method

So by first method, solution goes like this

Take any two numbers from above

Say 48,72

Now divide 72 by 48 without solving it to decimal.

You will get here-

Remainder- 24. Quotient-1

Now you have to divide the first divisor(48) by this remainder(24) .

Now you get remainder zero.

Now this last divisor 24 that makes your remainder zero is the HCF OF THESE TWO numbers.

We repeat this process of division till we zero as remainder.

Now we proceed our process as it is still incomplete

So we take this 24 and the third no 60 and find their HCF by the same method used above.

And we will get 12 as our desired result.

Its time to move on to next method

Factorization method

We find the factors of all the three numbers given to us separately.

We have factors here

48- 2*2*2*2*3

72- 2*2*2*3*3

60- 2*2*3*5

Now take out common factors that can be seen in all the three numbers.

So common factors - 2*2*3=12= HCF

Thanks.

Cheers.

Answer 2

Answer:

Take HCF of 48,72 and 60

You will get 12 , right.

Which is your desired result

There are two methods of finding HCF.

1- by division method

2- by prime factorization method

So by first method, solution goes like this

Take any two numbers from above

Say 48,72

Now divide 72 by 48 without solving it to decimal.

You will get here-

Remainder- 24. Quotient-1

Now you have to divide the first divisor(48) by this remainder(24) .

Now you get remainder zero.

Now this last divisor 24 that makes your remainder zero is the HCF OF THESE TWO numbers.

We repeat this process of division till we zero as remainder.

Now we proceed our process as it is still incomplete

So we take this 24 and the third no 60 and find their HCF by the same method used above.

And we will get 12 as our desired result.

Its time to move on to next method

Factorization method

We find the factors of all the three numbers given to us separately.

We have factors here

48- 2*2*2*2*3

72- 2*2*2*3*3

60- 2*2*3*5

Now take out common factors that can be seen in all the three numbers.

So common factors - 2*2*3=12= HCF