# HCF of 15, 27 using Euclid's algorithm

HCF of 15, 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 15, 27 is 3.

HCF(15, 27) = 3

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

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## Determining HCF of Numbers 15,27 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 15,27 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(15,27).

Here 27 is greater than 15

Now, consider the largest number as 'a' from the given number ie., 27 and 15 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 27 > 15, we apply the division lemma to 27 and 15, to get

27 = 15 x 1 + 12

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 12 and 15, to get

15 = 12 x 1 + 3

Step 3: We consider the new divisor 12 and the new remainder 3, and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 15 and 27 is 3

Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) .

Therefore, HCF of 15,27 using Euclid's division lemma is 3.

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### FAQs on HCF of 15, 27 using Euclid's Division Lemma Algorithm

1. What is the HCF(15, 27)?

The Highest common factor of 15, 27 is 3 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 15, 27 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 15, 27 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 15, 27 as 3.

3. Where can I get a detailed solution for finding the HCF(15, 27) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(15, 27) by Euclid's division lemma method on our page.