Highest Common Factor of 2331, 3729 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 2331, 3729 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2331, 3729 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 2331, 3729 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 2331, 3729 is 3.
HCF(2331, 3729) = 3
HCF of 2331, 3729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2331, 3729 is 3.
Highest Common Factor of 2331,3729 is 3
Step 1: Since 3729 > 2331, we apply the division lemma to 3729 and 2331, to get
3729 = 2331 x 1 + 1398
Step 2: Since the reminder 2331 ≠ 0, we apply division lemma to 1398 and 2331, to get
2331 = 1398 x 1 + 933
Step 3: We consider the new divisor 1398 and the new remainder 933, and apply the division lemma to get
1398 = 933 x 1 + 465
We consider the new divisor 933 and the new remainder 465,and apply the division lemma to get
933 = 465 x 2 + 3
We consider the new divisor 465 and the new remainder 3,and apply the division lemma to get
465 = 3 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2331 and 3729 is 3
Notice that 3 = HCF(465,3) = HCF(933,465) = HCF(1398,933) = HCF(2331,1398) = HCF(3729,2331) .
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Frequently Asked Questions on HCF of 2331, 3729 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 2331, 3729?
Answer: HCF of 2331, 3729 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2331, 3729 using Euclid's Algorithm?
Answer: For arbitrary numbers 2331, 3729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
