Question

HCF of 90,35 in long division metod​

Answer 1

The highest common factor (HCF) of two numbers is the largest number that divides both of them. One way to find the HCF of two numbers is by using the long division method. Here’s how you can find the HCF of 90 and 35 using this method:

Divide the larger number (90) by the smaller number (35) to get a quotient and a remainder.

Divide the smaller number (35) by the remainder from step 1.

Repeat step 2 until you get a remainder of 0.

The last divisor is the HCF of 90 and 35.

Let’s work through this example:

Divide 90 by 35 to get a quotient of 2 and a remainder of 20.

Divide 35 by 20 to get a quotient of 1 and a remainder of 15.

Divide 20 by 15 to get a quotient of 1 and a remainder of 5.

Divide 15 by 5 to get a quotient of 3 and a remainder of 0.

The last divisor is 5, so the HCF of 90 and 35 is 5.

Answer 2

To find the highest common factor (HCF) of 90 and 35 using the long division method, we perform the following steps:

Step 1: Divide the larger number (90) by the smaller number (35) and write down the quotient and remainder.

90 ÷ 35 = 2 remainder 20

Step 2: Now, divide the previous divisor (35) by the remainder obtained (20).

35 ÷ 20 = 1 remainder 15

Step 3: Repeat the process by dividing the previous divisor (20) by the remainder obtained (15).

20 ÷ 15 = 1 remainder 5

Step 4: Divide the previous divisor (15) by the remainder obtained (5).

15 ÷ 5 = 3 remainder 0

Step 5: The last non-zero remainder obtained is 5. Therefore, the HCF of 90 and 35 is 5.

Therefore, the highest common factor (HCF) of 90 and 35, using the long division method, is 5.