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HCF of 81, 27 using Euclid's algorithm

HCF of 81, 27 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., 27 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 81, 27 is 27.

HCF(81, 27) = 27

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

HCF of

Determining HCF of Numbers 81,27 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 81,27 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(81,27).

Here 81 is greater than 27

Now, consider the largest number as 'a' from the given number ie., 81 and 27 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 81 > 27, we apply the division lemma to 81 and 27, to get

81 = 27 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 81 and 27 is 27

Notice that 27 = HCF(81,27) .

Therefore, HCF of 81,27 using Euclid's division lemma is 27.

HCF using Euclid's Algorithm Calculation Examples

FAQs on HCF of 81, 27 using Euclid's Division Lemma Algorithm

1. What is the HCF(81, 27)?

The Highest common factor of 81, 27 is 27 the largest common factor that exactly divides two or more numbers with remainder 0.


2. How do you find HCF of 81, 27 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 81, 27 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 81, 27 as 27.


3. Where can I get a detailed solution for finding the HCF(81, 27) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(81, 27) by Euclid's division lemma method on our page.