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HCF of 11, 22, 44 using Euclid's algorithm

HCF of 11, 22, 44 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 11 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 11, 22, 44 is 11.

HCF(11, 22, 44) = 11

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

HCF of

Determining HCF of Numbers 11,22,44 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 11,22,44 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(11,22,44).

Here 22 is greater than 11

Now, consider the largest number as 'a' from the given number ie., 22 and 11 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 22 > 11, we apply the division lemma to 22 and 11, to get

22 = 11 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 22 is 11

Notice that 11 = HCF(22,11) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Here 44 is greater than 11

Now, consider the largest number as 'a' from the given number ie., 44 and 11 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 44 > 11, we apply the division lemma to 44 and 11, to get

44 = 11 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 44 is 11

Notice that 11 = HCF(44,11) .

Therefore, HCF of 11,22,44 using Euclid's division lemma is 11.

FAQs on HCF of 11, 22, 44 using Euclid's Division Lemma Algorithm

1. What is the HCF(11, 22, 44)?

The Highest common factor of 11, 22, 44 is 11 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 11, 22, 44 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 11, 22, 44 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 11, 22, 44 as 11.

3. Where can I get a detailed solution for finding the HCF(11, 22, 44) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(11, 22, 44) by Euclid's division lemma method on our page.