# HCF of 29, 60 using Euclid's algorithm

HCF of 29, 60 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., 1 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 29, 60 is 1.

HCF(29, 60) = 1

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

HCF of

## Determining HCF of Numbers 29,60 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 29,60 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(29,60).

Here 60 is greater than 29

Now, consider the largest number as 'a' from the given number ie., 60 and 29 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 60 > 29, we apply the division lemma to 60 and 29, to get

60 = 29 x 2 + 2

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 2 and 29, to get

29 = 2 x 14 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 60 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(60,29) .

Therefore, HCF of 29,60 using Euclid's division lemma is 1.

### HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

### FAQs on HCF of 29, 60 using Euclid's Division Lemma Algorithm

1. What is the HCF(29, 60)?

The Highest common factor of 29, 60 is 1 the largest common factor that exactly divides two or more numbers with remainder 0.

2. How do you find HCF of 29, 60 using the Euclidean division algorithm?

According to the Euclidean division algorithm, if we have two integers say a, b ie., 29, 60 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 29, 60 as 1.

3. Where can I get a detailed solution for finding the HCF(29, 60) by Euclid's division lemma method?

You can get a detailed solution for finding the HCF(29, 60) by Euclid's division lemma method on our page.