Highest Common Factor of 989, 6323 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 989, 6323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 6323 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 989, 6323 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 989, 6323 is 1.
HCF(989, 6323) = 1
HCF of 989, 6323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 989, 6323 is 1.
Highest Common Factor of 989,6323 is 1
Step 1: Since 6323 > 989, we apply the division lemma to 6323 and 989, to get
6323 = 989 x 6 + 389
Step 2: Since the reminder 989 ≠ 0, we apply division lemma to 389 and 989, to get
989 = 389 x 2 + 211
Step 3: We consider the new divisor 389 and the new remainder 211, and apply the division lemma to get
389 = 211 x 1 + 178
We consider the new divisor 211 and the new remainder 178,and apply the division lemma to get
211 = 178 x 1 + 33
We consider the new divisor 178 and the new remainder 33,and apply the division lemma to get
178 = 33 x 5 + 13
We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get
33 = 13 x 2 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 989 and 6323 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(178,33) = HCF(211,178) = HCF(389,211) = HCF(989,389) = HCF(6323,989) .
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Frequently Asked Questions on HCF of 989, 6323 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 989, 6323?
Answer: HCF of 989, 6323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 6323 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 6323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.