Highest Common Factor of 1731, 6383 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 1731, 6383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1731, 6383 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 1731, 6383 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 1731, 6383 is 1.
HCF(1731, 6383) = 1
HCF of 1731, 6383 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1731, 6383 is 1.
Highest Common Factor of 1731,6383 is 1
Step 1: Since 6383 > 1731, we apply the division lemma to 6383 and 1731, to get
6383 = 1731 x 3 + 1190
Step 2: Since the reminder 1731 ≠ 0, we apply division lemma to 1190 and 1731, to get
1731 = 1190 x 1 + 541
Step 3: We consider the new divisor 1190 and the new remainder 541, and apply the division lemma to get
1190 = 541 x 2 + 108
We consider the new divisor 541 and the new remainder 108,and apply the division lemma to get
541 = 108 x 5 + 1
We consider the new divisor 108 and the new remainder 1,and apply the division lemma to get
108 = 1 x 108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1731 and 6383 is 1
Notice that 1 = HCF(108,1) = HCF(541,108) = HCF(1190,541) = HCF(1731,1190) = HCF(6383,1731) .
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Frequently Asked Questions on HCF of 1731, 6383 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 1731, 6383?
Answer: HCF of 1731, 6383 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1731, 6383 using Euclid's Algorithm?
Answer: For arbitrary numbers 1731, 6383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.