Highest Common Factor of 9363, 733 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 9363, 733 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9363, 733 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 9363, 733 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 9363, 733 is 1.
HCF(9363, 733) = 1
HCF of 9363, 733 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9363, 733 is 1.
Highest Common Factor of 9363,733 is 1
Step 1: Since 9363 > 733, we apply the division lemma to 9363 and 733, to get
9363 = 733 x 12 + 567
Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 567 and 733, to get
733 = 567 x 1 + 166
Step 3: We consider the new divisor 567 and the new remainder 166, and apply the division lemma to get
567 = 166 x 3 + 69
We consider the new divisor 166 and the new remainder 69,and apply the division lemma to get
166 = 69 x 2 + 28
We consider the new divisor 69 and the new remainder 28,and apply the division lemma to get
69 = 28 x 2 + 13
We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get
28 = 13 x 2 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 9363 and 733 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(69,28) = HCF(166,69) = HCF(567,166) = HCF(733,567) = HCF(9363,733) .
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Frequently Asked Questions on HCF of 9363, 733 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 9363, 733?
Answer: HCF of 9363, 733 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9363, 733 using Euclid's Algorithm?
Answer: For arbitrary numbers 9363, 733 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
