# HCF of 48, 27 using Euclid's algorithm

HCF of 48, 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., 3 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 48, 27 is 3.

HCF(48, 27) = 3

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

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## Determining HCF of Numbers 48,27 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 48,27 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(48,27).

Here 48 is greater than 27

Now, consider the largest number as 'a' from the given number ie., 48 and 27 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 48 > 27, we apply the division lemma to 48 and 27, to get

48 = 27 x 1 + 21

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 21 and 27, to get

27 = 21 x 1 + 6

Step 3: We consider the new divisor 21 and the new remainder 6, and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3, and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 48 and 27 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) .

Therefore, HCF of 48,27 using Euclid's division lemma is 3.

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### FAQs on HCF of 48, 27 using Euclid's Division Lemma Algorithm

1. What is the HCF(48, 27)?

The Highest common factor of 48, 27 is 3 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 48, 27 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 48, 27 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 48, 27 as 3.

3. Where can I get a detailed solution for finding the HCF(48, 27) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(48, 27) by Euclid's division lemma method on our page.