Highest Common Factor of 4122, 6206 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 4122, 6206 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4122, 6206 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 4122, 6206 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 4122, 6206 is 2.
HCF(4122, 6206) = 2
HCF of 4122, 6206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4122, 6206 is 2.
Highest Common Factor of 4122,6206 is 2
Step 1: Since 6206 > 4122, we apply the division lemma to 6206 and 4122, to get
6206 = 4122 x 1 + 2084
Step 2: Since the reminder 4122 ≠ 0, we apply division lemma to 2084 and 4122, to get
4122 = 2084 x 1 + 2038
Step 3: We consider the new divisor 2084 and the new remainder 2038, and apply the division lemma to get
2084 = 2038 x 1 + 46
We consider the new divisor 2038 and the new remainder 46,and apply the division lemma to get
2038 = 46 x 44 + 14
We consider the new divisor 46 and the new remainder 14,and apply the division lemma to get
46 = 14 x 3 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 4122 and 6206 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(46,14) = HCF(2038,46) = HCF(2084,2038) = HCF(4122,2084) = HCF(6206,4122) .
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Frequently Asked Questions on HCF of 4122, 6206 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 4122, 6206?
Answer: HCF of 4122, 6206 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4122, 6206 using Euclid's Algorithm?
Answer: For arbitrary numbers 4122, 6206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
