Highest Common Factor of 5643, 6122 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 5643, 6122 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5643, 6122 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 5643, 6122 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 5643, 6122 is 1.
HCF(5643, 6122) = 1
HCF of 5643, 6122 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5643, 6122 is 1.
Highest Common Factor of 5643,6122 is 1
Step 1: Since 6122 > 5643, we apply the division lemma to 6122 and 5643, to get
6122 = 5643 x 1 + 479
Step 2: Since the reminder 5643 ≠ 0, we apply division lemma to 479 and 5643, to get
5643 = 479 x 11 + 374
Step 3: We consider the new divisor 479 and the new remainder 374, and apply the division lemma to get
479 = 374 x 1 + 105
We consider the new divisor 374 and the new remainder 105,and apply the division lemma to get
374 = 105 x 3 + 59
We consider the new divisor 105 and the new remainder 59,and apply the division lemma to get
105 = 59 x 1 + 46
We consider the new divisor 59 and the new remainder 46,and apply the division lemma to get
59 = 46 x 1 + 13
We consider the new divisor 46 and the new remainder 13,and apply the division lemma to get
46 = 13 x 3 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5643 and 6122 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(46,13) = HCF(59,46) = HCF(105,59) = HCF(374,105) = HCF(479,374) = HCF(5643,479) = HCF(6122,5643) .
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Frequently Asked Questions on HCF of 5643, 6122 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 5643, 6122?
Answer: HCF of 5643, 6122 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5643, 6122 using Euclid's Algorithm?
Answer: For arbitrary numbers 5643, 6122 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
