Highest Common Factor of 6243, 9543 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 6243, 9543 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6243, 9543 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 6243, 9543 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 6243, 9543 is 3.
HCF(6243, 9543) = 3
HCF of 6243, 9543 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6243, 9543 is 3.
Highest Common Factor of 6243,9543 is 3
Step 1: Since 9543 > 6243, we apply the division lemma to 9543 and 6243, to get
9543 = 6243 x 1 + 3300
Step 2: Since the reminder 6243 ≠ 0, we apply division lemma to 3300 and 6243, to get
6243 = 3300 x 1 + 2943
Step 3: We consider the new divisor 3300 and the new remainder 2943, and apply the division lemma to get
3300 = 2943 x 1 + 357
We consider the new divisor 2943 and the new remainder 357,and apply the division lemma to get
2943 = 357 x 8 + 87
We consider the new divisor 357 and the new remainder 87,and apply the division lemma to get
357 = 87 x 4 + 9
We consider the new divisor 87 and the new remainder 9,and apply the division lemma to get
87 = 9 x 9 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6243 and 9543 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(87,9) = HCF(357,87) = HCF(2943,357) = HCF(3300,2943) = HCF(6243,3300) = HCF(9543,6243) .
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Frequently Asked Questions on HCF of 6243, 9543 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 6243, 9543?
Answer: HCF of 6243, 9543 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6243, 9543 using Euclid's Algorithm?
Answer: For arbitrary numbers 6243, 9543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.