Highest Common Factor of 999, 82481 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, 82481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 82481 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, 82481 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, 82481 is 1.
HCF(999, 82481) = 1
HCF of 999, 82481 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, 82481 is 1.
Highest Common Factor of 999,82481 is 1
Step 1: Since 82481 > 999, we apply the division lemma to 82481 and 999, to get
82481 = 999 x 82 + 563
Step 2: Since the reminder 999 ≠ 0, we apply division lemma to 563 and 999, to get
999 = 563 x 1 + 436
Step 3: We consider the new divisor 563 and the new remainder 436, and apply the division lemma to get
563 = 436 x 1 + 127
We consider the new divisor 436 and the new remainder 127,and apply the division lemma to get
436 = 127 x 3 + 55
We consider the new divisor 127 and the new remainder 55,and apply the division lemma to get
127 = 55 x 2 + 17
We consider the new divisor 55 and the new remainder 17,and apply the division lemma to get
55 = 17 x 3 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 82481 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(55,17) = HCF(127,55) = HCF(436,127) = HCF(563,436) = HCF(999,563) = HCF(82481,999) .
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Frequently Asked Questions on HCF of 999, 82481 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, 82481?
Answer: HCF of 999, 82481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 82481 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 82481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.