Highest Common Factor of 8213, 5723 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 8213, 5723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8213, 5723 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 8213, 5723 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 8213, 5723 is 1.
HCF(8213, 5723) = 1
HCF of 8213, 5723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8213, 5723 is 1.
Highest Common Factor of 8213,5723 is 1
Step 1: Since 8213 > 5723, we apply the division lemma to 8213 and 5723, to get
8213 = 5723 x 1 + 2490
Step 2: Since the reminder 5723 ≠ 0, we apply division lemma to 2490 and 5723, to get
5723 = 2490 x 2 + 743
Step 3: We consider the new divisor 2490 and the new remainder 743, and apply the division lemma to get
2490 = 743 x 3 + 261
We consider the new divisor 743 and the new remainder 261,and apply the division lemma to get
743 = 261 x 2 + 221
We consider the new divisor 261 and the new remainder 221,and apply the division lemma to get
261 = 221 x 1 + 40
We consider the new divisor 221 and the new remainder 40,and apply the division lemma to get
221 = 40 x 5 + 21
We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get
40 = 21 x 1 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 8213 and 5723 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(221,40) = HCF(261,221) = HCF(743,261) = HCF(2490,743) = HCF(5723,2490) = HCF(8213,5723) .
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Frequently Asked Questions on HCF of 8213, 5723 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 8213, 5723?
Answer: HCF of 8213, 5723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8213, 5723 using Euclid's Algorithm?
Answer: For arbitrary numbers 8213, 5723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.