HCF of 72, 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., 24 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 72, 96 is 24.
HCF(72, 96) = 24
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 72,96 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(72,96).
Here 96 is greater than 72
Now, consider the largest number as 'a' from the given number ie., 96 and 72 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 96 > 72, we apply the division lemma to 96 and 72, to get
96 = 72 x 1 + 24
Step 2: Since the reminder 72 ≠ 0, we apply division lemma to 24 and 72, to get
72 = 24 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 72 and 96 is 24
Notice that 24 = HCF(72,24) = HCF(96,72) .
Therefore, HCF of 72,96 using Euclid's division lemma is 24.
1. What is the HCF(72, 96)?
The Highest common factor of 72, 96 is 24 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 72, 96 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 72, 96 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 72, 96 as 24.
3. Where can I get a detailed solution for finding the HCF(72, 96) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(72, 96) by Euclid's division lemma method on our page.