HCF of 10, 6 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., 2 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 10, 6 is 2.
HCF(10, 6) = 2
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 10,6 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(10,6).
Here 10 is greater than 6
Now, consider the largest number as 'a' from the given number ie., 10 and 6 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 10 > 6, we apply the division lemma to 10 and 6, to get
10 = 6 x 1 + 4
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 4 and 6, to get
6 = 4 x 1 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 10 and 6 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) .
Therefore, HCF of 10,6 using Euclid's division lemma is 2.
1. What is the HCF(10, 6)?
The Highest common factor of 10, 6 is 2 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 10, 6 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 10, 6 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 10, 6 as 2.
3. Where can I get a detailed solution for finding the HCF(10, 6) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(10, 6) by Euclid's division lemma method on our page.