HCF of 144, 80 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., 16 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 144, 80 is 16.
HCF(144, 80) = 16
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 144,80 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(144,80).
Here 144 is greater than 80
Now, consider the largest number as 'a' from the given number ie., 144 and 80 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 144 > 80, we apply the division lemma to 144 and 80, to get
144 = 80 x 1 + 64
Step 2: Since the reminder 80 ≠ 0, we apply division lemma to 64 and 80, to get
80 = 64 x 1 + 16
Step 3: We consider the new divisor 64 and the new remainder 16, and apply the division lemma to get
64 = 16 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 144 and 80 is 16
Notice that 16 = HCF(64,16) = HCF(80,64) = HCF(144,80) .
Therefore, HCF of 144,80 using Euclid's division lemma is 16.
1. What is the HCF(144, 80)?
The Highest common factor of 144, 80 is 16 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 144, 80 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 144, 80 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 144, 80 as 16.
3. Where can I get a detailed solution for finding the HCF(144, 80) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(144, 80) by Euclid's division lemma method on our page.