Highest Common Factor of 6323, 8008 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 6323, 8008 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6323, 8008 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 6323, 8008 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 6323, 8008 is 1.
HCF(6323, 8008) = 1
HCF of 6323, 8008 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6323, 8008 is 1.
Highest Common Factor of 6323,8008 is 1
Step 1: Since 8008 > 6323, we apply the division lemma to 8008 and 6323, to get
8008 = 6323 x 1 + 1685
Step 2: Since the reminder 6323 ≠ 0, we apply division lemma to 1685 and 6323, to get
6323 = 1685 x 3 + 1268
Step 3: We consider the new divisor 1685 and the new remainder 1268, and apply the division lemma to get
1685 = 1268 x 1 + 417
We consider the new divisor 1268 and the new remainder 417,and apply the division lemma to get
1268 = 417 x 3 + 17
We consider the new divisor 417 and the new remainder 17,and apply the division lemma to get
417 = 17 x 24 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6323 and 8008 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(417,17) = HCF(1268,417) = HCF(1685,1268) = HCF(6323,1685) = HCF(8008,6323) .
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Frequently Asked Questions on HCF of 6323, 8008 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 6323, 8008?
Answer: HCF of 6323, 8008 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6323, 8008 using Euclid's Algorithm?
Answer: For arbitrary numbers 6323, 8008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.