HCF of 208, 16 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., 16 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 208, 16 is 16.
HCF(208, 16) = 16
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 208,16 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(208,16).
Here 208 is greater than 16
Now, consider the largest number as 'a' from the given number ie., 208 and 16 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 208 > 16, we apply the division lemma to 208 and 16, to get
208 = 16 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 208 and 16 is 16
Notice that 16 = HCF(208,16) .
Therefore, HCF of 208,16 using Euclid's division lemma is 16.
1. What is the HCF(208, 16)?
The Highest common factor of 208, 16 is 16 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 208, 16 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 208, 16 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 208, 16 as 16.
3. Where can I get a detailed solution for finding the HCF(208, 16) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(208, 16) by Euclid's division lemma method on our page.