HCF of 150, 250, 375 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 150,250,375. This is how to do it.

Step 1: The first step is to use the division lemma with 250 and 150 because 250 is greater than 150

250 = 150 x 1 + 100

Step 2: Here, the reminder 150 is not 0, we must use division lemma to 100 and 150, to get

150 = 100 x 1 + 50

Step 3: We consider the new divisor 100 and the new remainder 50, and apply the division lemma to get

100 = 50 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 50.Therefore, the HCF of 150 and 250 is equal to 50

Notice that 50 = HCF(100,50) = HCF(150,100) = HCF(250,150) .

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 375 and 50 because 375 is greater than 50

375 = 50 x 7 + 25

Step 2: Here, the reminder 50 is not 0, we must use division lemma to 25 and 50, to get

50 = 25 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 25.Therefore, the HCF of 50 and 375 is equal to 25

Notice that 25 = HCF(50,25) = HCF(375,50) .

Hence, the HCF of 150, 250, 375 is equal to 25.

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 150, 250, 375?

Answer: The HCF of 150, 250, 375 is 25.