HCF of 132, 99 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., 33 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 132, 99 is 33.
HCF(132, 99) = 33
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 132,99 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(132,99).
Here 132 is greater than 99
Now, consider the largest number as 'a' from the given number ie., 132 and 99 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 132 > 99, we apply the division lemma to 132 and 99, to get
132 = 99 x 1 + 33
Step 2: Since the reminder 99 ≠ 0, we apply division lemma to 33 and 99, to get
99 = 33 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 132 and 99 is 33
Notice that 33 = HCF(99,33) = HCF(132,99) .
Therefore, HCF of 132,99 using Euclid's division lemma is 33.
1. What is the HCF(132, 99)?
The Highest common factor of 132, 99 is 33 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 132, 99 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 132, 99 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 132, 99 as 33.
3. Where can I get a detailed solution for finding the HCF(132, 99) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(132, 99) by Euclid's division lemma method on our page.