HCF of 40, 98, 15 using Euclid's algorithm

Euclid’s algorithm is written as a = bq + r. This is known as the division lemma. The variable r varies according to 0 ≤ r ≤ b. We can use this to figure out the HCF of 40,98,15. This is how to do it.

Step 1: The first step is to use the division lemma with 98 and 40 because 98 is greater than 40

98 = 40 x 2 + 18

Step 2: Here, the reminder 40 is not 0, we must use division lemma to 18 and 40, to get

40 = 18 x 2 + 4

Step 3: We consider the new divisor 18 and the new remainder 4, and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get

4 = 2 x 2 + 0

As you can see, the remainder is zero, so you may end the process at this point. From the last equation, we can determine that the divisor is 2.Therefore, the HCF of 40 and 98 is equal to 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(98,40) .

Now, we must treat the HCF of the first two numbers as the next number in our calculation, and next

Step 1: The first step is to use the division lemma with 15 and 2 because 15 is greater than 2

15 = 2 x 7 + 1

Step 2: Here, the reminder 2 is not 0, we must use division lemma to 1 and 2, to get

2 = 1 x 2 + 0

As you can see, the remainder is zero, so you may end the process at this point. From the last equation, we can determine that the divisor is 1.Therefore, the HCF of 2 and 15 is equal to 1

Notice that 1 = HCF(2,1) = HCF(15,2) .

Hence, the HCF of 40, 98, 15 is equal to 1.

1. What is the Euclid division algorithm?

Answer: Euclid’s algorithm is represented as a = bq + r, and 0 ≤ r ≤ b..

2. How do you find HCF using Euclid's algorithm ?

Answer: Apply the division lemma to the numbers, and keep going until the remainder is zero. Once it becomes zero, the divisor will be your HCF.

3. What is the HCF of 40, 98, 15?

Answer: The HCF of 40, 98, 15 is 1.