HCF of 40, 64 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., 8 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 40, 64 is 8.
HCF(40, 64) = 8
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 40,64 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(40,64).
Here 64 is greater than 40
Now, consider the largest number as 'a' from the given number ie., 64 and 40 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 64 > 40, we apply the division lemma to 64 and 40, to get
64 = 40 x 1 + 24
Step 2: Since the reminder 40 ≠ 0, we apply division lemma to 24 and 40, to get
40 = 24 x 1 + 16
Step 3: We consider the new divisor 24 and the new remainder 16, and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8, and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 40 and 64 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(40,24) = HCF(64,40) .
Therefore, HCF of 40,64 using Euclid's division lemma is 8.
1. What is the HCF(40, 64)?
The Highest common factor of 40, 64 is 8 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 40, 64 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 40, 64 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 40, 64 as 8.
3. Where can I get a detailed solution for finding the HCF(40, 64) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(40, 64) by Euclid's division lemma method on our page.