Highest Common Factor of 4864, 3413 using Euclid's algorithm
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 4864, 3413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4864, 3413 is 1 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 4864, 3413 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 4864, 3413 is 1.
HCF(4864, 3413) = 1
HCF of 4864, 3413 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4864, 3413 is 1.
Highest Common Factor of 4864,3413 is 1
Step 1: Since 4864 > 3413, we apply the division lemma to 4864 and 3413, to get
4864 = 3413 x 1 + 1451
Step 2: Since the reminder 3413 ≠ 0, we apply division lemma to 1451 and 3413, to get
3413 = 1451 x 2 + 511
Step 3: We consider the new divisor 1451 and the new remainder 511, and apply the division lemma to get
1451 = 511 x 2 + 429
We consider the new divisor 511 and the new remainder 429,and apply the division lemma to get
511 = 429 x 1 + 82
We consider the new divisor 429 and the new remainder 82,and apply the division lemma to get
429 = 82 x 5 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4864 and 3413 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(429,82) = HCF(511,429) = HCF(1451,511) = HCF(3413,1451) = HCF(4864,3413) .
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Frequently Asked Questions on HCF of 4864, 3413 using Euclid's Algorithm
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 4864, 3413?
Answer: HCF of 4864, 3413 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4864, 3413 using Euclid's Algorithm?
Answer: For arbitrary numbers 4864, 3413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.