HCF of 66, 110 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., 22 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 66, 110 is 22.
HCF(66, 110) = 22
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 66,110 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(66,110).
Here 110 is greater than 66
Now, consider the largest number as 'a' from the given number ie., 110 and 66 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 110 > 66, we apply the division lemma to 110 and 66, to get
110 = 66 x 1 + 44
Step 2: Since the reminder 66 ≠ 0, we apply division lemma to 44 and 66, to get
66 = 44 x 1 + 22
Step 3: We consider the new divisor 44 and the new remainder 22, and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 66 and 110 is 22
Notice that 22 = HCF(44,22) = HCF(66,44) = HCF(110,66) .
Therefore, HCF of 66,110 using Euclid's division lemma is 22.
1. What is the HCF(66, 110)?
The Highest common factor of 66, 110 is 22 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 66, 110 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 66, 110 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 66, 110 as 22.
3. Where can I get a detailed solution for finding the HCF(66, 110) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(66, 110) by Euclid's division lemma method on our page.