36,420 and 90 what is the HCF of this
Answers
Step-by-step explanation:
step 1
Here 36 is greater than 24
we apply the division lemma to 36 and 24, to get
36 = 24 x 1 + 12
step 2
Since the reminder 24 ≠ 0, we apply division lemma to 12 and 24, to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 24 and 36 is 12
step 3
Here 420 is greater than 12
Now, consider the largest number as 'a' from the given number ie., 420 and 12 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 420 > 12, we apply the division lemma to 420 and 12, to get
420 = 12 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 12 and 420 is 12
Notice that 12 = HCF(420,12) .
Therefore, HCF of 24,36,420 using Euclid's division lemma is 12.
Answer:
answer is 6
Step-by-step explanation:
see the attached pic