Highest Common Factor of 731, 41043 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 731, 41043 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 41043 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 731, 41043 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 731, 41043 is 1.
HCF(731, 41043) = 1
HCF of 731, 41043 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 41043 is 1.
Highest Common Factor of 731,41043 is 1
Step 1: Since 41043 > 731, we apply the division lemma to 41043 and 731, to get
41043 = 731 x 56 + 107
Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 107 and 731, to get
731 = 107 x 6 + 89
Step 3: We consider the new divisor 107 and the new remainder 89, and apply the division lemma to get
107 = 89 x 1 + 18
We consider the new divisor 89 and the new remainder 18,and apply the division lemma to get
89 = 18 x 4 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 731 and 41043 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(89,18) = HCF(107,89) = HCF(731,107) = HCF(41043,731) .
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Frequently Asked Questions on HCF of 731, 41043 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 731, 41043?
Answer: HCF of 731, 41043 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 41043 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 41043 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.