Highest Common Factor of 999, 613 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, 613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 613 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, 613 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, 613 is 1.
HCF(999, 613) = 1
HCF of 999, 613 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, 613 is 1.
Highest Common Factor of 999,613 is 1
Step 1: Since 999 > 613, we apply the division lemma to 999 and 613, to get
999 = 613 x 1 + 386
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 386 and 613, to get
613 = 386 x 1 + 227
Step 3: We consider the new divisor 386 and the new remainder 227, and apply the division lemma to get
386 = 227 x 1 + 159
We consider the new divisor 227 and the new remainder 159,and apply the division lemma to get
227 = 159 x 1 + 68
We consider the new divisor 159 and the new remainder 68,and apply the division lemma to get
159 = 68 x 2 + 23
We consider the new divisor 68 and the new remainder 23,and apply the division lemma to get
68 = 23 x 2 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 613 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(159,68) = HCF(227,159) = HCF(386,227) = HCF(613,386) = HCF(999,613) .
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Frequently Asked Questions on HCF of 999, 613 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, 613?
Answer: HCF of 999, 613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 613 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
