HCF of 232, 87 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., 29 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 232, 87 is 29.
HCF(232, 87) = 29
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 232,87 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(232,87).
Here 232 is greater than 87
Now, consider the largest number as 'a' from the given number ie., 232 and 87 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 232 > 87, we apply the division lemma to 232 and 87, to get
232 = 87 x 2 + 58
Step 2: Since the reminder 87 ≠ 0, we apply division lemma to 58 and 87, to get
87 = 58 x 1 + 29
Step 3: We consider the new divisor 58 and the new remainder 29, and apply the division lemma to get
58 = 29 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 232 and 87 is 29
Notice that 29 = HCF(58,29) = HCF(87,58) = HCF(232,87) .
Therefore, HCF of 232,87 using Euclid's division lemma is 29.
1. What is the HCF(232, 87)?
The Highest common factor of 232, 87 is 29 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 232, 87 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 232, 87 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 232, 87 as 29.
3. Where can I get a detailed solution for finding the HCF(232, 87) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(232, 87) by Euclid's division lemma method on our page.