Highest Common Factor of 623, 8699, 6823 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 623, 8699, 6823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 8699, 6823 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 623, 8699, 6823 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 623, 8699, 6823 is 1.
HCF(623, 8699, 6823) = 1
HCF of 623, 8699, 6823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 8699, 6823 is 1.
Highest Common Factor of 623,8699,6823 is 1
Step 1: Since 8699 > 623, we apply the division lemma to 8699 and 623, to get
8699 = 623 x 13 + 600
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 600 and 623, to get
623 = 600 x 1 + 23
Step 3: We consider the new divisor 600 and the new remainder 23, and apply the division lemma to get
600 = 23 x 26 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 8699 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(600,23) = HCF(623,600) = HCF(8699,623) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6823 > 1, we apply the division lemma to 6823 and 1, to get
6823 = 1 x 6823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6823 is 1
Notice that 1 = HCF(6823,1) .
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Frequently Asked Questions on HCF of 623, 8699, 6823 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 623, 8699, 6823?
Answer: HCF of 623, 8699, 6823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 8699, 6823 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 8699, 6823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.