HCF of 48, 84 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., 12 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 48, 84 is 12.
HCF(48, 84) = 12
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 48,84 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(48,84).
Here 84 is greater than 48
Now, consider the largest number as 'a' from the given number ie., 84 and 48 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 84 > 48, we apply the division lemma to 84 and 48, to get
84 = 48 x 1 + 36
Step 2: Since the reminder 48 ≠ 0, we apply division lemma to 36 and 48, to get
48 = 36 x 1 + 12
Step 3: We consider the new divisor 36 and the new remainder 12, and apply the division lemma to get
36 = 12 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 48 and 84 is 12
Notice that 12 = HCF(36,12) = HCF(48,36) = HCF(84,48) .
Therefore, HCF of 48,84 using Euclid's division lemma is 12.
1. What is the HCF(48, 84)?
The Highest common factor of 48, 84 is 12 the largest common factor that exactly divides two or more numbers with remainder 0.
2. How do you find HCF of 48, 84 using the Euclidean division algorithm?
According to the Euclidean division algorithm, if we have two integers say a, b ie., 48, 84 the largest number should satisfy Euclid's statement a = bq + r where 0 ≤ r < b and get the highest common factor of 48, 84 as 12.
3. Where can I get a detailed solution for finding the HCF(48, 84) by Euclid's division lemma method?
You can get a detailed solution for finding the HCF(48, 84) by Euclid's division lemma method on our page.