Highest Common Factor of 5923, 2830 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 5923, 2830 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5923, 2830 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 5923, 2830 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 5923, 2830 is 1.
HCF(5923, 2830) = 1
HCF of 5923, 2830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5923, 2830 is 1.
Highest Common Factor of 5923,2830 is 1
Step 1: Since 5923 > 2830, we apply the division lemma to 5923 and 2830, to get
5923 = 2830 x 2 + 263
Step 2: Since the reminder 2830 ≠ 0, we apply division lemma to 263 and 2830, to get
2830 = 263 x 10 + 200
Step 3: We consider the new divisor 263 and the new remainder 200, and apply the division lemma to get
263 = 200 x 1 + 63
We consider the new divisor 200 and the new remainder 63,and apply the division lemma to get
200 = 63 x 3 + 11
We consider the new divisor 63 and the new remainder 11,and apply the division lemma to get
63 = 11 x 5 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5923 and 2830 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(63,11) = HCF(200,63) = HCF(263,200) = HCF(2830,263) = HCF(5923,2830) .
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Frequently Asked Questions on HCF of 5923, 2830 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 5923, 2830?
Answer: HCF of 5923, 2830 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5923, 2830 using Euclid's Algorithm?
Answer: For arbitrary numbers 5923, 2830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
