HCF of 216, 72 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., 72 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 216, 72 is 72.
HCF(216, 72) = 72
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 216,72 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(216,72).
Here 216 is greater than 72
Now, consider the largest number as 'a' from the given number ie., 216 and 72 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 216 > 72, we apply the division lemma to 216 and 72, to get
216 = 72 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 72, the HCF of 216 and 72 is 72
Notice that 72 = HCF(216,72) .
Therefore, HCF of 216,72 using Euclid's division lemma is 72.
1. What is the HCF(216, 72)?
The Highest common factor of 216, 72 is 72 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 216, 72 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 216, 72 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 216, 72 as 72.
3. Where can I get a detailed solution for finding the HCF(216, 72) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(216, 72) by Euclid's division lemma method on our page.