Highest Common Factor of 4082, 3422 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 4082, 3422 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4082, 3422 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 4082, 3422 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 4082, 3422 is 2.
HCF(4082, 3422) = 2
HCF of 4082, 3422 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4082, 3422 is 2.
Highest Common Factor of 4082,3422 is 2
Step 1: Since 4082 > 3422, we apply the division lemma to 4082 and 3422, to get
4082 = 3422 x 1 + 660
Step 2: Since the reminder 3422 ≠ 0, we apply division lemma to 660 and 3422, to get
3422 = 660 x 5 + 122
Step 3: We consider the new divisor 660 and the new remainder 122, and apply the division lemma to get
660 = 122 x 5 + 50
We consider the new divisor 122 and the new remainder 50,and apply the division lemma to get
122 = 50 x 2 + 22
We consider the new divisor 50 and the new remainder 22,and apply the division lemma to get
50 = 22 x 2 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4082 and 3422 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(50,22) = HCF(122,50) = HCF(660,122) = HCF(3422,660) = HCF(4082,3422) .
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Frequently Asked Questions on HCF of 4082, 3422 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 4082, 3422?
Answer: HCF of 4082, 3422 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4082, 3422 using Euclid's Algorithm?
Answer: For arbitrary numbers 4082, 3422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.