Highest Common Factor of 6032, 3834 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 6032, 3834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6032, 3834 is 2 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 6032, 3834 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 6032, 3834 is 2.
HCF(6032, 3834) = 2
HCF of 6032, 3834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6032, 3834 is 2.
Highest Common Factor of 6032,3834 is 2
Step 1: Since 6032 > 3834, we apply the division lemma to 6032 and 3834, to get
6032 = 3834 x 1 + 2198
Step 2: Since the reminder 3834 ≠ 0, we apply division lemma to 2198 and 3834, to get
3834 = 2198 x 1 + 1636
Step 3: We consider the new divisor 2198 and the new remainder 1636, and apply the division lemma to get
2198 = 1636 x 1 + 562
We consider the new divisor 1636 and the new remainder 562,and apply the division lemma to get
1636 = 562 x 2 + 512
We consider the new divisor 562 and the new remainder 512,and apply the division lemma to get
562 = 512 x 1 + 50
We consider the new divisor 512 and the new remainder 50,and apply the division lemma to get
512 = 50 x 10 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6032 and 3834 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(512,50) = HCF(562,512) = HCF(1636,562) = HCF(2198,1636) = HCF(3834,2198) = HCF(6032,3834) .
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Frequently Asked Questions on HCF of 6032, 3834 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 6032, 3834?
Answer: HCF of 6032, 3834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6032, 3834 using Euclid's Algorithm?
Answer: For arbitrary numbers 6032, 3834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.