HCF of 867, 255 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., 51 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 867, 255 is 51.
HCF(867, 255) = 51
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 867,255 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(867,255).
Here 867 is greater than 255
Now, consider the largest number as 'a' from the given number ie., 867 and 255 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 867 > 255, we apply the division lemma to 867 and 255, to get
867 = 255 x 3 + 102
Step 2: Since the reminder 255 ≠ 0, we apply division lemma to 102 and 255, to get
255 = 102 x 2 + 51
Step 3: We consider the new divisor 102 and the new remainder 51, and apply the division lemma to get
102 = 51 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 51, the HCF of 867 and 255 is 51
Notice that 51 = HCF(102,51) = HCF(255,102) = HCF(867,255) .
Therefore, HCF of 867,255 using Euclid's division lemma is 51.
1. What is the HCF(867, 255)?
The Highest common factor of 867, 255 is 51 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 867, 255 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 867, 255 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 867, 255 as 51.
3. Where can I get a detailed solution for finding the HCF(867, 255) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(867, 255) by Euclid's division lemma method on our page.