Highest Common Factor of 1593, 7323 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 1593, 7323 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1593, 7323 is 3 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 1593, 7323 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 1593, 7323 is 3.
HCF(1593, 7323) = 3
HCF of 1593, 7323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1593, 7323 is 3.
Highest Common Factor of 1593,7323 is 3
Step 1: Since 7323 > 1593, we apply the division lemma to 7323 and 1593, to get
7323 = 1593 x 4 + 951
Step 2: Since the reminder 1593 ≠ 0, we apply division lemma to 951 and 1593, to get
1593 = 951 x 1 + 642
Step 3: We consider the new divisor 951 and the new remainder 642, and apply the division lemma to get
951 = 642 x 1 + 309
We consider the new divisor 642 and the new remainder 309,and apply the division lemma to get
642 = 309 x 2 + 24
We consider the new divisor 309 and the new remainder 24,and apply the division lemma to get
309 = 24 x 12 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1593 and 7323 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(309,24) = HCF(642,309) = HCF(951,642) = HCF(1593,951) = HCF(7323,1593) .
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Frequently Asked Questions on HCF of 1593, 7323 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 1593, 7323?
Answer: HCF of 1593, 7323 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1593, 7323 using Euclid's Algorithm?
Answer: For arbitrary numbers 1593, 7323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.