Highest Common Factor of 543, 38653 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 543, 38653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 543, 38653 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 543, 38653 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 543, 38653 is 1.
HCF(543, 38653) = 1
HCF of 543, 38653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 543, 38653 is 1.
Highest Common Factor of 543,38653 is 1
Step 1: Since 38653 > 543, we apply the division lemma to 38653 and 543, to get
38653 = 543 x 71 + 100
Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 100 and 543, to get
543 = 100 x 5 + 43
Step 3: We consider the new divisor 100 and the new remainder 43, and apply the division lemma to get
100 = 43 x 2 + 14
We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get
43 = 14 x 3 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 543 and 38653 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(100,43) = HCF(543,100) = HCF(38653,543) .
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Frequently Asked Questions on HCF of 543, 38653 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 543, 38653?
Answer: HCF of 543, 38653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 543, 38653 using Euclid's Algorithm?
Answer: For arbitrary numbers 543, 38653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.