Highest Common Factor of 6823, 2535 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 6823, 2535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6823, 2535 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 6823, 2535 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 6823, 2535 is 1.
HCF(6823, 2535) = 1
HCF of 6823, 2535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6823, 2535 is 1.
Highest Common Factor of 6823,2535 is 1
Step 1: Since 6823 > 2535, we apply the division lemma to 6823 and 2535, to get
6823 = 2535 x 2 + 1753
Step 2: Since the reminder 2535 ≠ 0, we apply division lemma to 1753 and 2535, to get
2535 = 1753 x 1 + 782
Step 3: We consider the new divisor 1753 and the new remainder 782, and apply the division lemma to get
1753 = 782 x 2 + 189
We consider the new divisor 782 and the new remainder 189,and apply the division lemma to get
782 = 189 x 4 + 26
We consider the new divisor 189 and the new remainder 26,and apply the division lemma to get
189 = 26 x 7 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6823 and 2535 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(189,26) = HCF(782,189) = HCF(1753,782) = HCF(2535,1753) = HCF(6823,2535) .
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Frequently Asked Questions on HCF of 6823, 2535 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 6823, 2535?
Answer: HCF of 6823, 2535 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6823, 2535 using Euclid's Algorithm?
Answer: For arbitrary numbers 6823, 2535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
