HCF of 210, 693 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., 21 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 210, 693 is 21.
HCF(210, 693) = 21
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 210,693 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(210,693).
Here 693 is greater than 210
Now, consider the largest number as 'a' from the given number ie., 693 and 210 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 693 > 210, we apply the division lemma to 693 and 210, to get
693 = 210 x 3 + 63
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 63 and 210, to get
210 = 63 x 3 + 21
Step 3: We consider the new divisor 63 and the new remainder 21, and apply the division lemma to get
63 = 21 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 210 and 693 is 21
Notice that 21 = HCF(63,21) = HCF(210,63) = HCF(693,210) .
Therefore, HCF of 210,693 using Euclid's division lemma is 21.
1. What is the HCF(210, 693)?
The Highest common factor of 210, 693 is 21 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 210, 693 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 210, 693 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 210, 693 as 21.
3. Where can I get a detailed solution for finding the HCF(210, 693) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(210, 693) by Euclid's division lemma method on our page.