Highest Common Factor of 5693, 9362 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 5693, 9362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5693, 9362 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 5693, 9362 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 5693, 9362 is 1.
HCF(5693, 9362) = 1
HCF of 5693, 9362 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5693, 9362 is 1.
Highest Common Factor of 5693,9362 is 1
Step 1: Since 9362 > 5693, we apply the division lemma to 9362 and 5693, to get
9362 = 5693 x 1 + 3669
Step 2: Since the reminder 5693 ≠ 0, we apply division lemma to 3669 and 5693, to get
5693 = 3669 x 1 + 2024
Step 3: We consider the new divisor 3669 and the new remainder 2024, and apply the division lemma to get
3669 = 2024 x 1 + 1645
We consider the new divisor 2024 and the new remainder 1645,and apply the division lemma to get
2024 = 1645 x 1 + 379
We consider the new divisor 1645 and the new remainder 379,and apply the division lemma to get
1645 = 379 x 4 + 129
We consider the new divisor 379 and the new remainder 129,and apply the division lemma to get
379 = 129 x 2 + 121
We consider the new divisor 129 and the new remainder 121,and apply the division lemma to get
129 = 121 x 1 + 8
We consider the new divisor 121 and the new remainder 8,and apply the division lemma to get
121 = 8 x 15 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5693 and 9362 is 1
Notice that 1 = HCF(8,1) = HCF(121,8) = HCF(129,121) = HCF(379,129) = HCF(1645,379) = HCF(2024,1645) = HCF(3669,2024) = HCF(5693,3669) = HCF(9362,5693) .
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Frequently Asked Questions on HCF of 5693, 9362 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 5693, 9362?
Answer: HCF of 5693, 9362 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5693, 9362 using Euclid's Algorithm?
Answer: For arbitrary numbers 5693, 9362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.