Highest Common Factor of 999, 5863, 4701 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 999, 5863, 4701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 5863, 4701 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 999, 5863, 4701 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 999, 5863, 4701 is 1.
HCF(999, 5863, 4701) = 1
HCF of 999, 5863, 4701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 5863, 4701 is 1.
Highest Common Factor of 999,5863,4701 is 1
Step 1: Since 5863 > 999, we apply the division lemma to 5863 and 999, to get
5863 = 999 x 5 + 868
Step 2: Since the reminder 999 ≠ 0, we apply division lemma to 868 and 999, to get
999 = 868 x 1 + 131
Step 3: We consider the new divisor 868 and the new remainder 131, and apply the division lemma to get
868 = 131 x 6 + 82
We consider the new divisor 131 and the new remainder 82,and apply the division lemma to get
131 = 82 x 1 + 49
We consider the new divisor 82 and the new remainder 49,and apply the division lemma to get
82 = 49 x 1 + 33
We consider the new divisor 49 and the new remainder 33,and apply the division lemma to get
49 = 33 x 1 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 5863 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(49,33) = HCF(82,49) = HCF(131,82) = HCF(868,131) = HCF(999,868) = HCF(5863,999) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4701 > 1, we apply the division lemma to 4701 and 1, to get
4701 = 1 x 4701 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4701 is 1
Notice that 1 = HCF(4701,1) .
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Frequently Asked Questions on HCF of 999, 5863, 4701 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 999, 5863, 4701?
Answer: HCF of 999, 5863, 4701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 5863, 4701 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 5863, 4701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.