HCF of 209, 38 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., 19 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 209, 38 is 19.
HCF(209, 38) = 19
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
Below detailed show work will make you learn how to find HCF of 209,38 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(209,38).
Here 209 is greater than 38
Now, consider the largest number as 'a' from the given number ie., 209 and 38 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 209 > 38, we apply the division lemma to 209 and 38, to get
209 = 38 x 5 + 19
Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 19 and 38, to get
38 = 19 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 209 and 38 is 19
Notice that 19 = HCF(38,19) = HCF(209,38) .
Therefore, HCF of 209,38 using Euclid's division lemma is 19.
1. What is the HCF(209, 38)?
The Highest common factor of 209, 38 is 19 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 209, 38 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 209, 38 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 209, 38 as 19.
3. Where can I get a detailed solution for finding the HCF(209, 38) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(209, 38) by Euclid's division lemma method on our page.