Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3848, 8064 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 3848, 8064 is 8 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3848, 8064 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3848, 8064 is 8.
HCF(3848, 8064) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3848, 8064 is 8.
Step 1: Since 8064 > 3848, we apply the division lemma to 8064 and 3848, to get
8064 = 3848 x 2 + 368
Step 2: Since the reminder 3848 ≠ 0, we apply division lemma to 368 and 3848, to get
3848 = 368 x 10 + 168
Step 3: We consider the new divisor 368 and the new remainder 168, and apply the division lemma to get
368 = 168 x 2 + 32
We consider the new divisor 168 and the new remainder 32,and apply the division lemma to get
168 = 32 x 5 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3848 and 8064 is 8
Notice that 8 = HCF(32,8) = HCF(168,32) = HCF(368,168) = HCF(3848,368) = HCF(8064,3848) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3848, 8064?
Answer: HCF of 3848, 8064 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3848, 8064 using Euclid's Algorithm?
Answer: For arbitrary numbers 3848, 8064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.