HCF of 432, 96 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., 48 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 432, 96 is 48.
HCF(432, 96) = 48
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 432,96 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(432,96).
Here 432 is greater than 96
Now, consider the largest number as 'a' from the given number ie., 432 and 96 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 432 > 96, we apply the division lemma to 432 and 96, to get
432 = 96 x 4 + 48
Step 2: Since the reminder 96 ≠ 0, we apply division lemma to 48 and 96, to get
96 = 48 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 432 and 96 is 48
Notice that 48 = HCF(96,48) = HCF(432,96) .
Therefore, HCF of 432,96 using Euclid's division lemma is 48.
1. What is the HCF(432, 96)?
The Highest common factor of 432, 96 is 48 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 432, 96 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 432, 96 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 432, 96 as 48.
3. Where can I get a detailed solution for finding the HCF(432, 96) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(432, 96) by Euclid's division lemma method on our page.