Highest Common Factor of 5343, 1462 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 5343, 1462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5343, 1462 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 5343, 1462 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 5343, 1462 is 1.
HCF(5343, 1462) = 1
HCF of 5343, 1462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5343, 1462 is 1.
Highest Common Factor of 5343,1462 is 1
Step 1: Since 5343 > 1462, we apply the division lemma to 5343 and 1462, to get
5343 = 1462 x 3 + 957
Step 2: Since the reminder 1462 ≠ 0, we apply division lemma to 957 and 1462, to get
1462 = 957 x 1 + 505
Step 3: We consider the new divisor 957 and the new remainder 505, and apply the division lemma to get
957 = 505 x 1 + 452
We consider the new divisor 505 and the new remainder 452,and apply the division lemma to get
505 = 452 x 1 + 53
We consider the new divisor 452 and the new remainder 53,and apply the division lemma to get
452 = 53 x 8 + 28
We consider the new divisor 53 and the new remainder 28,and apply the division lemma to get
53 = 28 x 1 + 25
We consider the new divisor 28 and the new remainder 25,and apply the division lemma to get
28 = 25 x 1 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5343 and 1462 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(28,25) = HCF(53,28) = HCF(452,53) = HCF(505,452) = HCF(957,505) = HCF(1462,957) = HCF(5343,1462) .
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Frequently Asked Questions on HCF of 5343, 1462 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 5343, 1462?
Answer: HCF of 5343, 1462 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5343, 1462 using Euclid's Algorithm?
Answer: For arbitrary numbers 5343, 1462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.